Introduction to Fractions
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About these worksheets
These worksheets introduce the concept of fractions from the ground up. Activities include naming fractions from words and pictures, writing fractions from visual models, identifying correct fraction representations, partitioning shapes into equal parts, determining whether fractions equal zero, one-half, or one whole, examining fraction values between whole numbers, comparing relative fraction sizes, finding reciprocals, and expressing fractions in words and numbers. Resources span first through fifth grade.
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- Look at a picture model and write the fraction it shows.
- Identify the numerator and denominator in a fraction.
- Match a shaded part of a whole to the correct fraction notation.
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- Match a written fraction to a picture that shows the same amount shaded.
- Tell how many equal parts the whole is split into and how many parts are shaded.
- Notice when pictures show different-sized parts and choose only models with equal parts.
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- Split a shape into equal-size parts and explain that each part is the same area.
- Spot when parts are not equal and know that they do not make fair fractions.
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- Decide whether a shape has been split into equal-size parts.
- Tell the difference between equal partitions and uneven partitions in pictures.
- Connect a partitioned shape to the idea of a fraction as equal parts of one whole.
- Explain why a partition is not correct when the pieces are different sizes.
- Explain a fraction as “part of a whole set,” using the numerator as the count shown and the denominator as the total.
- Write the shaded part of a picture as a fraction using a numerator and denominator.
- Count equal parts in a shape to figure out the denominator.
- Count shaded parts to figure out the numerator.
- Match a visual fraction model to the correct numeric fraction notation.
- Read a fraction and say it using the correct words.
- Write a fraction in word form using the right spelling for the denominator (like thirds, fourths, fifths).
- Match the numerator to the correct counting word (one, two, three, etc.) when writing fractions.
- Use singular and plural fraction words correctly (like one half vs. two thirds).
Fraction Location on a Numberline
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About these worksheets
Students practice placing fractions on a number line, a key skill for understanding fraction size and order. Worksheets cover locating fractions between 0 and 1, partitioning and labeling number lines, placing fractions between whole numbers, and working with positive and negative fractions on a number line. Aligned with third through sixth grade standards.
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- Find where a fraction belongs between 0 and 1 on a number line.
- Use the denominator to see how many equal parts the whole is split into on the number line.
- Use the numerator to count how many parts to move from 0 to reach the fraction.
- Use benchmarks like 0, 1/2, and 1 to decide if a fraction is closer to the start, middle, or end.
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- Find where a fraction belongs on a number line between 0 and 1.
- Use the denominator to see how many equal parts the whole is split into on the number line.
- Use the numerator to count how many parts from 0 to reach the fraction’s point.
- Recognize benchmark points like 0, 1/2, and 1 to help place and compare fractions.
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- Break a whole number line segment into equal parts based on the denominator.
- Use the tick marks to label unit fractions like 1/4 or 1/6.
- Match the numerator and denominator to the correct point on a number line.
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- Practice placing positive and negative fractions in the right spot on a number line.
- Learn to tell whether a fraction belongs to the left or right of 0.
- Use the spacing between tick marks to match a fraction to its correct location.
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- Find where a fraction belongs between two whole numbers on a number line.
- Use the denominator to split a number line segment into equal parts.
- Match a fraction to the correct tick mark by counting equal jumps from 0 or from a whole number.
- Explain why a fraction is closer to 0, 1, or another whole number based on its size.
- Practice finding where an improper fraction belongs on a number line.
- Break an improper fraction into whole numbers and a leftover fraction to see which two whole numbers it falls between.
- Use the denominator to count equal parts between whole numbers on the number line.
Adding & Subtracting Fractions
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About these worksheets
These worksheets provide comprehensive practice with fraction addition and subtraction. Topics include adding and subtracting with same and different denominators, working with mixed numbers and improper fractions, using visual models, regrouping when subtracting mixed numbers, adding tenths and hundredths, and solving fraction word problems. Resources span fourth through fifth grade and beyond.
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- Add mixed numbers by combining the whole-number parts and the fraction parts.
- Use pictures or fraction models to see what the fractions add up to.
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- Subtract mixed fractions to find the difference between two amounts.
- Use fraction pictures to see how the wholes and parts change when you subtract.
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- Add two or more fractions that have the same denominator.
- Use fraction pictures to see how parts combine to make a total.
- Match a visual model to the correct fraction value.
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- Add two fractions by combining their parts to make a total amount.
- Use pictures or fraction models to see what each fraction means before adding.
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- Add two fractions to find the total amount.
- Add fractions with the same denominator.
- Match a fraction sum to the correct picture model.
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- Add fractions that have different denominators by rewriting them as equivalent fractions with a common denominator.
- Subtract fractions that have different denominators by using a common denominator first.
- Use visual fraction models to see how two unlike fractions combine or how much is left after subtracting.
Multiplying & Dividing Fractions
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About these worksheets
Students build fluency with fraction multiplication and division through a wide range of activities. Worksheets cover multiplying fractions by whole numbers and by other fractions, using visual models and number lines, estimating fraction products, cross-cancelling, dividing unit fractions, interpreting fractions as division, distributing fractional amounts, and solving word problems. Topics span fourth through sixth grade Common Core standards.
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- Understand that multiplying a unit fraction means taking that fraction of a whole number.
- Use a number line to show equal jumps of a unit fraction and find the total distance.
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- Multiply a fraction by a whole number to find a product.
- Use a picture model to show repeated groups of the same fraction.
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- Multiply a fraction by a whole number to find the total amount.
- Use pictures or models to show what it means to take a fraction several times.
- Connect repeated addition of the same fraction to multiplication.
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- Multiply two fractions to find the product.
- Use shaded area models or grids to show what it means to multiply fractions.
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- Multiply a fraction by a whole number to find the total amount.
- Use a number line to show equal jumps of a fraction and count how many jumps you make.
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- Divide a unit fraction by a whole number to find how much each group gets.
- Use a picture model to show how a fraction is split into equal parts.
- Connect the visual model to the rule that dividing by a whole number makes the denominator larger.
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- Understand what it means to divide by a unit fraction using a picture or model.
- Use visual models to see how many 1/b-sized parts fit into a given fraction or whole amount.
- Connect the visual model to the idea that dividing by a unit fraction makes the answer larger.
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- Split a group of objects into equal parts and describe each part as a fraction of the whole.
- Combine fractional parts to make a whole or a larger fraction when you regroup the pieces.
- Use pictures or models to show how the same total can be redistributed into different fractional groups.
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- Use the numbers in a word problem to decide what goes in the numerator and denominator.
- Identify which two whole numbers a fraction lies between.
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- Divide a fraction by a whole number to find how much each equal share is.
- Use a number line to show the division by splitting a fraction-length segment into equal parts.
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- Divide a unit fraction (like 1/3 or 1/8) by a whole number.
- Use a number line to show how a unit fraction is split into equal parts.
- Write the answer as a fraction and connect it to the number line model.
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- Divide a whole number by a fraction to find how many fractional parts fit in the whole number.
- Use a number line to model division by making equal jumps of a fraction and counting the jumps.
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- Divide a whole number by a unit fraction like 1/2 or 1/4.
- Use a number line to show equal jumps of a unit fraction and count how many jumps fit in the whole number.
- Explain the quotient as “how many 1/n parts are in this many wholes.”
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- Use a number line to show division with fractions by making equal jumps.
- Figure out how many fractional steps fit into a given length on a number line.
- Solve fraction division problems by thinking about the reciprocal and what the quotient means.
About these worksheets
These worksheets develop fraction comparison skills using multiple strategies. Students compare fractions with same numerators or denominators, compare fractions with different denominators using common denominators, determine whether fractions are greater than, less than, or equal to one-half, order sets of fractions, and use visual models for comparison. Resources span third through fourth grade.
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- Compare two fractions and decide which one is greater, less, or if they are equal.
- Fill in the missing fraction to make a comparison statement true.
- Use fraction models or number lines to compare fractions by their size.
- Compare fractions with different denominators by thinking about equivalent fractions or common denominators.
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- Match a shaded picture or model to the fraction it shows.
- Count equal parts to figure out the denominator and count shaded parts to figure out the numerator.
- Recognize the same fraction shown with different shapes or layouts (like bars, circles, or grids).
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- Decide which of two fractions is greater, less, or if they are equal.
- Use fraction pictures or models to compare the size of two fractions.
- Identify the numeric value of a visual fraction model.
- Count equal parts to figure out the denominator and count shaded parts to figure out the numerator.
- Decide which of two fractions is greater, less, or if they are equal by looking at pictures or models.
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- Decide whether a shaded fraction is less than, equal to, or greater than one-half.
- Compare a fraction to 1/2 by thinking about how many equal parts make a whole.
- Use pictures like fraction models or number lines to judge a fraction’s size compared to 1/2.
Equivalent Fractions
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About these worksheets
Students learn to create, identify, and work with equivalent fractions. Activities include using visual models and number lines to find equivalent fractions, reducing fractions to simplest form, finding missing numerators or denominators, recognizing equivalent fraction patterns, writing whole numbers as fractions, and simplifying mixed numbers with improper fraction parts. Aligned with third through fourth grade standards.
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- Use shaded pictures to see what fraction of a whole is shown.
- Express an equivalent fraction in a picture model.
- Match equivalent fractions by noticing when the whole is split into more equal parts.
- Connect the numerator and denominator to how many parts are shaded and how many parts there are in all.
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- Use a number line to see where a fraction lands between 0 and 1.
- Find an equivalent fraction by splitting the same number line into more equal parts.
- Match two fractions that point to the same spot on a number line.
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- Practice counting shaded parts across multiple shapes to write an improper fraction
- Figure out the denominator by looking at how many equal pieces each shape is divided into
- Write fractions greater than one whole by counting all the shaded pieces as the numerator
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- Recognize when two fractions are equal even if they use different numbers.
- Shade fraction models to show the same amount in different ways.
- Match a given fraction to an equivalent fraction by partitioning a shape into more equal parts.
- Explain how multiplying the top and bottom of a fraction by the same number keeps the value the same.
Converting Fractions
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About these worksheets
These worksheets focus on converting between different fraction forms. Students practice converting fractions to whole numbers, changing improper fractions to mixed numbers, converting mixed numbers to improper fractions, and matching visual models to both forms. Aligned with third and fourth grade standards.
- Read fraction pictures and tell how many whole units and extra parts they show.
- Write a picture that shows more than 1 whole as an improper fraction.
- Explain how the numerator and denominator match the number of shaded parts and the size of each whole.
Comparing Fractions, Decimals & Percents
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About these worksheets
Students develop fluency in comparing and converting between fractions, decimals, and percents. Worksheets include numeric fraction comparison, finding equivalent values across all three forms, using visual models and number lines, and working with number wheels. These resources help students see fractions, decimals, and percents as different representations of the same quantity. Aligned with fourth grade and above.
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- Read a shaded picture model and name the fraction that is shaded.
- Write the shaded amount as a decimal.
- Write the shaded amount as a percent.
- Convert between fraction, decimal, and percent to show the same amount in different ways.
- Compare a fraction and a decimal to decide which one is larger.
- Use a number line to see where each value falls between 0 and 1 (or between whole numbers).
- Use benchmark values like 0, 0.5, and 1 to judge which number is closer to the right side of the number line.
- Read a shaded section on a number wheel and name it as a fraction of the whole.
- Read a shaded section on a number wheel and name it as a decimal value.
- Read a number wheel and figure out what fraction of the whole is shaded.
- Read a number wheel and figure out what decimal amount of the whole is shaded.
