Practice Fractions: addition and subtraction
To add or subtract fractions, first give them a common denominator, then combine the numerators.
Keep the denominator and simplify the result.
Exercises with solutions
Find a common denominator, rewrite the fractions, then add or subtract the numerators. Keep the common denominator and simplify the result.
Exercise 1
Calculate 1/3 + 1/4.
Show solution and working
7/12
Use denominator 12: 1/3 = 4/12 and 1/4 = 3/12, so their sum is 7/12.
Exercise 2
Calculate 5/6 − 1/4.
Show solution and working
7/12
Use denominator 12: 5/6 = 10/12 and 1/4 = 3/12. Subtract to get 7/12.
Exercise 3
Calculate 3/5 + 1/10 and simplify.
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7/10
Rewrite 3/5 as 6/10. Add the numerators: 6/10 + 1/10 = 7/10.
Exercise 4
Calculate 1 1/2 − 2/3.
Show solution and working
5/6
Convert the mixed number: 1 1/2 = 3/2 = 9/6. Then 9/6 − 4/6 = 5/6.
Common mistake
Do not add numerators and denominators separately: 1/3 + 1/4 is not 2/7. The parts must have the same size before you combine them.
Free maths worksheets with worked solutions
Fractions: free German worksheet with solutions (PDF)
Grades 5/6: questions 1–5 cover foundations; 6–10 practise fraction calculations.
PDF and questions in German
Maths by grade
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