How do I pick the right level?

Choose an age or grade in step 2. Start easier if the pupil is unsure – you can switch anytime and get new problems instantly.

Can I see the problems before printing?

Yes. The sheet shows exactly the problems that will print. Click New problems to swap them.

How do I include an answer key?

Turn on Answer key in the last step. It prints on its own page after the problems, with the same numbering.

What does the question mark next to a problem do?

It opens a step-by-step explanation of the method on screen. It is not printed and does not reveal the answer.

How do you add fractions with different denominators?

Rewrite both with a common denominator, add the numerators, then simplify.

Are answers simplified?

Yes, and answers greater than 1 are shown as mixed numbers.

Grade 4–6Common Core (CCSS) · Math: number sense

Math · Grade 66th Grade Fractions Worksheets — Free Printable with Answer Key

Add fractions with different denominators, with answers simplified or written as mixed numbers.

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Classroom · 10 questions per page

Paper size

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Worked example

The goal: find a new value when two quantities grow at the same rate (twice as many costs twice as much).
First find the cost of ONE unit. Example: 3 apples cost 15 kr → 1 apple = 15 ÷ 3 = 5 kr.
Then multiply by the amount asked for: 7 apples = 7 × 5 = 35 kr.
Answer: 35 kr. This is called proportionality – the price grows evenly with the amount.
Check: read the question again. Does your answer give what was asked, with the right unit? Work backwards to see that it fits. ✓

Add and subtract fractions · Grade 6

Name: ____________________

If 2 kg cost 30 kr, how much do 10 kg cost?

Solve: 3x + 22 = 46

Calculate: 26 ÷ 16 =

Calculate: 12 × (6 + 7) − 6 =

Solve: 8x + 20 = 108

What percentage of 40 is 30?

Calculate: 19 − (-14) =

Calculate the volume of a cuboid: 2 cm × 4 cm × 6 cm =

Calculate: 5% of 240 =

10.

Median and mode of 28, 10, 12, 19, 23, 21, 13, 21

11.

If 5 kg cost 35 kr, how much do 9 kg cost?

12.

Distance 25 km, Time 1 h. Speed =

13.

Calculate: 24 ÷ 16 =

14.

Calculate: 3.05 · 8 =

15.

Solve: 7x + 17 = 59

16.

Find the value when x = 4: 9x + 7 =

17.

Calculate: 5 − (-16) =

18.

Triangle: base 20 cm, height 5 cm. Area =

19.

Calculate: 40% of 55 =

20.

Calculate the mean of 22, 21, 26, 21, 19, 15 and 16.

21.

If 5 kg cost 110 kr, how much do 7 kg cost?

22.

Calculate the volume of a cuboid: 12 cm × 2 cm × 5 cm =

23.

Calculate: 28 ÷ 45 =

24.

What percentage of 50 is 5?

25.

Solve: 7x + 13 = 27

26.

Distance 100 km, Time 5 h. Speed =

27.

Calculate: -10 + (-18) =

28.

Find the value when x = 3: 4x − 6 =

29.

Calculate: 20% of 50 =

30.

Calculate: 8 × 7 − 4 =

Answer key

1. 150 kr
2. x = 8
3. 2
4. 150
5. x = 11
6. 75%
7. 33
8. 48 cm³
9. 12
10. median 20, mode 21
11. 63 kr
12. 25 km/h
13. 3
14. 24.4
15. x = 6
16. 43
17. 21
18. 50 cm²
19. 22
20. 20
21. 154 kr
22. 120 cm³
23. 516
24. 10%
25. x = 2
26. 20 km/h
27. -28
28. 6
29. 10
30. 52

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Topics on this worksheet

Areas on this sheet

Algebra · 4
Geometry · 2
Probability and statistics · 1

Step 1 of 5

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Area: Fractions
Exercise type: Add and subtract fractions
Grade: 6 (ages 11–12)
Difficulty: Easy
Number of tasks: 30
Task format: Calculations
Paper size: US Letter

1. Choose content

Area

Your choices

Area: Fractions
Exercise type: Add and subtract fractions
Grade: 6 (ages 11–12)
Difficulty: Easy
Number of tasks: 30
Task format: Calculations
Paper size: US Letter

1. Choose content

Area

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Add fractions with different denominators, with answers simplified or written as mixed numbers.

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Pick a difficulty: easy, medium or hard.
Choose how many problems you want (10, 20 or 30).
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By sixth grade students should add fractions with unlike denominators by finding a common denominator and simplifying the result. Every sheet has a separate answer key calculated by the website, so answers always match the problems. Free, no sign-up, US Letter by default.

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Frequently asked questions

How do I pick the right level?: Choose an age or grade in step 2. Start easier if the pupil is unsure – you can switch anytime and get new problems instantly.
Can I see the problems before printing?: Yes. The sheet shows exactly the problems that will print. Click New problems to swap them.
How do I include an answer key?: Turn on Answer key in the last step. It prints on its own page after the problems, with the same numbering.
What does the question mark next to a problem do?: It opens a step-by-step explanation of the method on screen. It is not printed and does not reveal the answer.
How do you add fractions with different denominators?: Rewrite both with a common denominator, add the numerators, then simplify.
Are answers simplified?: Yes, and answers greater than 1 are shown as mixed numbers.