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Adding fractions with like denominators worksheets

Twenty problems adding fractions that share a denominator, such as 3/8 + 2/8, in three versions with answer keys. Answers are in simplest form.

Fraction operations: add fractions with like denominators

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Add. Write the answer in simplest form, as a mixed number if it is more than 1.

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Sheet AFree at teach.peabody.kids

Fraction operations: add fractions with like denominators

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Add. Write the answer in simplest form, as a mixed number if it is more than 1.

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Sheet BFree at teach.peabody.kids

Fraction operations: add fractions with like denominators

NameDate

Add. Write the answer in simplest form, as a mixed number if it is more than 1.

  1. + =
  2. + =
  3. + =
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Sheet CFree at teach.peabody.kids

Answer key

Sheet A

  1. 1
  2. 1
  3. 1
  5. 1
  7. 1
  8. 1
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  12. 1
  13. 1
  19. 1
  20. 1

Sheet B

  1. 1
  3. 1
  5. 1
  7. 1
  8. 1
  9. 1
  10. 1
  12. 1
  13. 1
  18. 1
  19. 1
  20. 1

Sheet C

  1. 1
  3. 1
  6. 1
  7. 1
  10. 1
  11. 1
  12. 1
  14. 1
  15. 1
  17. 1
  18. 1
  19. 1
  20. 1
Answer keyFree at teach.peabody.kids

Fraction operations: 20 problems a sheet, 3 versions that do not repeat each other where the numbers allow.

How to use it

  1. Look at the sheet: it is a real, printable sheet. Switch between Sheet A, B and C, or press New numbers (N) for a fresh set.
  2. Change how many problems, how many versions, and whether the key prints. Settings stay in this browser; Share copies a link that rebuilds the same sheets.
  3. Press Print sheet A and key, or Print all. The answer key prints on its own page, so you can keep it back.

Ideas for class

  • Say the fractions aloud with the unit name: four fifths plus three fifths is seven fifths. It keeps students from adding the denominators.
  • Draw a fraction strip beside the first problem of each type, especially the ones above one whole.
  • Ask students to check each answer against 1: is it more or less than a whole, and does the key agree?

Related

Questions

Are the answers simplified?

Yes. The key reduces each answer, so 2/8 + 2/8 is shown as 1/2. A student who writes 4/8 has the right amount and can be asked to reduce it.

How are sums over one whole shown?

As mixed numbers, such as 1 3/8. The directions on the sheet say so, so students know what form to use.

Are the answer keys checked?

Each answer is worked out by the code that wrote the problem, and our tests recompute every answer a second way and compare. Please still look over the key before you grade a class set.

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What this worksheet covers

When the pieces are the same size, adding fractions means adding the pieces and leaving the size alone. Each problem here has two fractions with the same denominator from 3 to 12, such as 4/5 + 3/5. Some sums are more than one whole, and the key writes those as mixed numbers, such as 1 2/5. Answers are in simplest form, so 1/4 + 1/4 is written as 1/2.

Who it is for

Fourth grade. Common Core 4.NF.B.3 asks students to add and subtract fractions with like denominators and to see a fraction as a sum of unit fractions. Students need to know what the top and bottom numbers mean first.

Adding fractions that share a denominator · grade 4

A worked example

4/5 + 3/5 is 4 fifths and 3 fifths, which is 7 fifths, written 7/5. Since 5/5 is one whole, 7/5 is one whole and 2 fifths, so the answer is 1 2/5. Draw two strips of five parts and shade seven to show it.

Mistakes to watch for

  • Adding the denominators too, so 3/8 + 2/8 becomes 5/16. The pieces are still eighths.
  • Leaving an improper fraction such as 7/5 when the class has been asked for a mixed number. Check what your classroom expects and tell students.

Make it your own

This sheet is one setting of the math worksheet generator. Open it there to change the skill, the range of numbers or the heading, or to mix several skills on one sheet.