Fractions: Four Operations

Work through in order — each question is a small step harder than the last. Show your working. Give each answer as a fraction in its simplest form.

1. 1Work out $\dfrac{5}{6} + \dfrac{5}{12}$.
2. 2Work out $\dfrac{1}{4} + \dfrac{1}{2}$.
3. 3Work out $\dfrac{1}{12} + \dfrac{1}{2}$.
4. 4Work out $\dfrac{7}{10} - \dfrac{1}{4}$.
5. 5Work out $\dfrac{3}{4} - \dfrac{1}{8}$.
6. 6Work out $\dfrac{1}{2} + \dfrac{9}{10}$.
7. 7Work out $\dfrac{3}{5} \times \dfrac{1}{3}$.
8. 8Work out $\dfrac{1}{3} \times \dfrac{2}{5}$.
9. 9Work out $2\tfrac{3}{4} \times \dfrac{1}{6}$.
10. 10Work out $2\tfrac{1}{2} \times \dfrac{1}{3}$.
11. 11Work out $2\tfrac{2}{3} \times \dfrac{4}{3}$.
12. 12A bag holds 136 sweets.
    Work out $\dfrac{3}{8}$ of the sweets.
13. 13A bag holds 88 sweets.
    Work out $\dfrac{5}{8}$ of the sweets.
14. 14A class fund contains £80.
    Work out $\dfrac{3}{5}$ of this amount.
15. 15There are 45 students in a year group.
    Work out $\dfrac{3}{5}$ of the students.
16. 16A class fund contains £60.
    Work out $\dfrac{3}{5}$ of this amount.
17. 17Work out $2\tfrac{1}{2} + 2\tfrac{1}{3}$.
18. 18Work out $1\tfrac{4}{5} + 4\tfrac{3}{4}$.
19. 19Work out $4\tfrac{7}{8} + 4\tfrac{1}{2}$.
20. 20Work out $2\tfrac{5}{8} + 1\tfrac{1}{3}$.
21. 21Work out $1\tfrac{3}{8} + 1\tfrac{1}{3}$.
22. 22Work out $4\tfrac{2}{3} - 1\tfrac{2}{5}$.
23. 23Work out $1\tfrac{3}{5} \div \dfrac{4}{5}$.
24. 24Work out $\dfrac{7}{8} \div \dfrac{1}{4}$.
25. 25Work out $3\tfrac{1}{2} \div \dfrac{4}{3}$.
26. 26Work out $\dfrac{5}{6} \div \dfrac{4}{5}$.
27. 27Work out $\dfrac{2}{5} \div \dfrac{1}{2}$.
28. 28Work out $\dfrac{1}{6} + \dfrac{1}{2} \times \dfrac{1}{4}$.
29. 29Work out $\dfrac{4}{5} + \dfrac{3}{5} \times \dfrac{1}{3}$.
30. 30Work out $\dfrac{1}{6} + \dfrac{2}{3} \times \dfrac{1}{2}$.
31. 31Work out $\dfrac{1}{2} - \dfrac{2}{3} \times \dfrac{2}{3}$.
32. 32Work out $\dfrac{5}{6} - \dfrac{1}{5} \times \dfrac{2}{3}$.
33. 33Work out $\dfrac{1}{3} + \dfrac{1}{5} \div \dfrac{2}{3}$.