Basic Fractions Worksheet for 13-Year-Olds – Math Practice

Free worksheet covering Math for age 13 students. Created with Learning Corner's AI-powered tools.

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Instructions

Complete each section to the best of your ability. Show your work where necessary and always simplify your final answers.

Section 1: Simplify!

Reduce the following fractions to their simplest form.

  1.   18⁄24 =
  2.   25⁄100 =
  3.   32⁄48 =
  4.   15⁄75 =

Section 2: Mix and Match

Convert the mixed numbers to improper fractions, and the improper fractions to mixed numbers.

  1. Convert 4 2⁄5 to an improper fraction:
  2. Convert 7 1⁄3 to an improper fraction:
  3. Convert 17⁄4 to a mixed number:
  4. Convert 38⁄9 to a mixed number:

Section 3: Fraction Operations

Solve the following problems. Remember to find a common denominator for addition and subtraction. Simplify your final answer.

1.   2⁄3 + 1⁄6 = 5.   5⁄8 × 2⁄3 =
2.   7⁄8 - 1⁄2 = 6.   9⁄10 ÷ 3⁄5 =
3.   2 1⁄4 + 1 1⁄3 = 7.   1 3⁄4 × 2 2⁄7 =
4.   5 1⁄2 - 2 3⁄4 = 8.   4 1⁄2 ÷ 1 4⁄5 =

Section 4: Compare the Fractions

Fill in the blank with <, >, or = to make the statement true.

  1. 4⁄5 7⁄10
  2. 5⁄8 3⁄4
  3. 10⁄3 3 1⁄3
  4. 7⁄9 2⁄3

Section 5: Word Problem

Read the problem carefully and write your answer on the line provided.

A pizza has 12 slices. You eat 1⁄4 of the pizza, and your friend eats 1⁄3 of the pizza. What fraction of the pizza is left?


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Answer Key

Section 1: Simplify!

  1.   18⁄24 = 3⁄4
  2.   25⁄100 = 1⁄4
  3.   32⁄48 = 2⁄3
  4.   15⁄75 = 1⁄5

Section 2: Mix and Match

  1. Convert 4 2⁄5 to an improper fraction: 22⁄5
  2. Convert 7 1⁄3 to an improper fraction: 22⁄3
  3. Convert 17⁄4 to a mixed number: 4 1⁄4
  4. Convert 38⁄9 to a mixed number: 4 2⁄9

Section 3: Fraction Operations

1.   2⁄3 + 1⁄6 = 5⁄6 5.   5⁄8 × 2⁄3 = 5⁄12
2.   7⁄8 - 1⁄2 = 3⁄8 6.   9⁄10 ÷ 3⁄5 = 1 1⁄2
3.   2 1⁄4 + 1 1⁄3 = 3 7⁄12 7.   1 3⁄4 × 2 2⁄7 = 4
4.   5 1⁄2 - 2 3⁄4 = 2 3⁄4 8.   4 1⁄2 ÷ 1 4⁄5 = 2 1⁄2

Section 4: Compare the Fractions

  1. 4⁄5  >  7⁄10
  2. 5⁄8  <  3⁄4
  3. 10⁄3  =  3 1⁄3
  4. 7⁄9  >  2⁄3

Section 5: Word Problem

A pizza has 12 slices. You eat 1⁄4 of the pizza, and your friend eats 1⁄3 of the pizza. What fraction of the pizza is left?

1⁄4 + 1⁄3 = 3⁄12 + 4⁄12 = 7⁄12 eaten.
1 - 7⁄12 = 5⁄12 left.

5⁄12 of the pizza is left.

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