Equivalent Fractions Worksheet

Equivalent Fractions Worksheet

Equivalent Fractions Worksheet

Name: ___________________________
Date: ___________________________
Class: ___________________________

A. Fill in the Missing Number

Find the number that makes each pair of fractions equivalent.

  1. 12=?4\frac{1}{2} = \frac{?}{4}
  2. 23=?6\frac{2}{3} = \frac{?}{6}
  3. 34=?8\frac{3}{4} = \frac{?}{8}
  4. 15=?10\frac{1}{5} = \frac{?}{10}
  5. 25=?15\frac{2}{5} = \frac{?}{15}
  6. 35=?20\frac{3}{5} = \frac{?}{20}
  7. 47=?14\frac{4}{7} = \frac{?}{14}
  8. 56=?12\frac{5}{6} = \frac{?}{12}
  9. 27=?21\frac{2}{7} = \frac{?}{21}
  10. 38=?24\frac{3}{8} = \frac{?}{24}
  11. 49=?18\frac{4}{9} = \frac{?}{18}
  12. 58=?32\frac{5}{8} = \frac{?}{32}
  13. 610=?5\frac{6}{10} = \frac{?}{5}
  14. 812=?3\frac{8}{12} = \frac{?}{3}
  15. 915=?5\frac{9}{15} = \frac{?}{5}

B. Choose the Equivalent Fraction

  1. Which fraction is equivalent to 12\frac{1}{2}?

a) 25\frac{2}{5}
b) 36\frac{3}{6}
c) 47\frac{4}{7}

  1. Which fraction is equivalent to 23\frac{2}{3}?

a) 46\frac{4}{6}
b) 35\frac{3}{5}
c) 58\frac{5}{8}

  1. Which fraction is equivalent to 34\frac{3}{4}?

a) 68\frac{6}{8}
b) 58\frac{5}{8}
c) 916\frac{9}{16}

  1. Which fraction is equivalent to 25\frac{2}{5}?

a) 48\frac{4}{8}
b) 615\frac{6}{15}
c) 512\frac{5}{12}

  1. Which fraction is equivalent to 47\frac{4}{7}?

a) 814\frac{8}{14}
b) 612\frac{6}{12}
c) 1021\frac{10}{21}

  1. Which fraction is equivalent to 56\frac{5}{6}?

a) 1012\frac{10}{12}
b) 810\frac{8}{10}
c) 1215\frac{12}{15}

  1. Which fraction is equivalent to 38\frac{3}{8}?

a) 616\frac{6}{16}
b) 920\frac{9}{20}
c) 1230\frac{12}{30}

  1. Which fraction is equivalent to 59\frac{5}{9}?

a) 1018\frac{10}{18}
b) 1520\frac{15}{20}
c) 2030\frac{20}{30}

  1. Which fraction is equivalent to 710\frac{7}{10}?

a) 1420\frac{14}{20}
b) 1215\frac{12}{15}
c) 2125\frac{21}{25}

  1. Which fraction is equivalent to 45\frac{4}{5}?

a) 1220\frac{12}{20}
b) 1620\frac{16}{20}
c) 1525\frac{15}{25}

C. Write Three Equivalent Fractions

Write three fractions equivalent to each fraction.

  1. 13\frac{1}{3} → __________, __________, __________
  2. 25\frac{2}{5} → __________, __________, __________
  3. 37\frac{3}{7} → __________, __________, __________
  4. 49\frac{4}{9} → __________, __________, __________
  5. 58\frac{5}{8} → __________, __________, __________
  6. 29\frac{2}{9} → __________, __________, __________
  7. 310\frac{3}{10} → __________, __________, __________
  8. 56\frac{5}{6} → __________, __________, __________
  9. 78\frac{7}{8} → __________, __________, __________
  10. 411\frac{4}{11} → __________, __________, __________

D. Are the Fractions Equivalent?

Write Yes or No.

  1. 12\frac{1}{2} and 36\frac{3}{6} → __________
  2. 23\frac{2}{3} and 69\frac{6}{9} → __________
  3. 35\frac{3}{5} and 915\frac{9}{15} → __________
  4. 27\frac{2}{7} and 620\frac{6}{20} → __________
  5. 45\frac{4}{5} and 1215\frac{12}{15} → __________
  6. 38\frac{3}{8} and 924\frac{9}{24} → __________
  7. 56\frac{5}{6} and 1518\frac{15}{18} → __________
  8. 49\frac{4}{9} and 818\frac{8}{18} → __________
  9. 710\frac{7}{10} and 1420\frac{14}{20} → __________
  10. 58\frac{5}{8} and 1520\frac{15}{20} → __________

E. Simplify the Fractions

Simplify each fraction to its simplest form.

  1. 24\frac{2}{4} = __________
  2. 68\frac{6}{8} = __________
  3. 912\frac{9}{12} = __________
  4. 1015\frac{10}{15} = __________
  5. 1216\frac{12}{16} = __________
  6. 1520\frac{15}{20} = __________
  7. 1824\frac{18}{24} = __________
  8. 2030\frac{20}{30} = __________
  9. 2128\frac{21}{28} = __________
  10. 2535\frac{25}{35} = __________

F. Complete the Equivalent Fractions

  1. 24=3?\frac{2}{4} = \frac{3}{?}
  2. 35=?20\frac{3}{5} = \frac{?}{20}
  3. 46=?18\frac{4}{6} = \frac{?}{18}
  4. 57=15?\frac{5}{7} = \frac{15}{?}
  5. 68=?16\frac{6}{8} = \frac{?}{16}
  6. 79=21?\frac{7}{9} = \frac{21}{?}
  7. 810=?5\frac{8}{10} = \frac{?}{5}
  8. 912=3?\frac{9}{12} = \frac{3}{?}
  9. 1015=2?\frac{10}{15} = \frac{2}{?}
  10. 1218=?3\frac{12}{18} = \frac{?}{3}

Answer Key

A. Fill in the Missing Number

  1. 2
  2. 4
  3. 6
  4. 2
  5. 6
  6. 12
  7. 8
  8. 10
  9. 6
  10. 9
  11. 8
  12. 20
  13. 3
  14. 2
  15. 3

B. Multiple Choice

  1. b) 3/6
  2. a) 4/6
  3. a) 6/8
  4. b) 6/15
  5. a) 8/14
  6. a) 10/12
  7. a) 6/16
  8. a) 10/18
  9. a) 14/20
  10. b) 16/20

C. Sample Answers

  1. 2/6, 3/9, 4/12
  2. 4/10, 6/15, 8/20
  3. 6/14, 9/21, 12/28
  4. 8/18, 12/27, 16/36
  5. 10/16, 15/24, 20/32
  6. 4/18, 6/27, 8/36
  7. 6/20, 9/30, 12/40
  8. 10/12, 15/18, 20/24
  9. 14/16, 21/24, 28/32
  10. 8/22, 12/33, 16/44

D. Yes or No

  1. Yes
  2. Yes
  3. Yes
  4. No
  5. Yes
  6. Yes
  7. Yes
  8. Yes
  9. Yes
  10. No

E. Simplify

  1. 1/2
  2. 3/4
  3. 3/4
  4. 2/3
  5. 3/4
  6. 3/4
  7. 3/4
  8. 2/3
  9. 3/4
  10. 5/7

F. Complete the Fractions

  1. 6
  2. 12
  3. 12
  4. 21
  5. 12
  6. 27
  7. 4
  8. 4
  9. 3
  10. 2