Here are the solutions to the problems on the worksheet. Remember, for these problems, you do not need to simplify your answers (reduce the fractions).
Multiplying Fractions: Multiply the top numbers (numerators) together and the bottom numbers (denominators) together.
Dividing Fractions: Keep the first fraction, change the division sign to multiplication, and flip the second fraction upside down (find the reciprocal). Then multiply.
1) $\frac{3}{5} \times \frac{3}{4} = \frac{9}{20}$
2) $\frac{2}{3} \div \frac{1}{2} = \frac{2}{3} \times \frac{2}{1} = \frac{4}{3}$
3) $\frac{3}{4} \times \frac{1}{5} = \frac{3}{20}$
4) $\frac{1}{3} \div \frac{2}{5} = \frac{1}{3} \times \frac{5}{2} = \frac{5}{6}$
5) $\frac{3}{5} \times \frac{1}{4} = \frac{3}{20}$
6) $\frac{5}{6} \div \frac{2}{5} = \frac{5}{6} \times \frac{5}{2} = \frac{25}{12}$
7) $\frac{3}{7} \times \frac{4}{5} = \frac{12}{35}$
8) $\frac{1}{8} \div \frac{2}{3} = \frac{1}{8} \times \frac{3}{2} = \frac{3}{16}$
9) $\frac{5}{6} \times \frac{1}{2} = \frac{5}{12}$
10) $\frac{4}{5} \div \frac{3}{8} = \frac{4}{5} \times \frac{8}{3} = \frac{32}{15}$
11) $\frac{4}{9} \times \frac{2}{5} = \frac{8}{45}$
12) $\frac{3}{8} \div \frac{2}{7} = \frac{3}{8} \times \frac{7}{2} = \frac{21}{16}$
13) $\frac{1}{5} \times \frac{4}{5} = \frac{4}{25}$
14) $\frac{3}{5} \div \frac{1}{2} = \frac{3}{5} \times \frac{2}{1} = \frac{6}{5}$
15) $\frac{2}{7} \times \frac{1}{3} = \frac{2}{21}$
16) $\frac{4}{7} \div \frac{1}{5} = \frac{4}{7} \times \frac{5}{1} = \frac{20}{7}$
17) $\frac{2}{5} \times \frac{3}{7} = \frac{6}{35}$
18) $\frac{2}{9} \div \frac{1}{4} = \frac{2}{9} \times \frac{4}{1} = \frac{8}{9}$
19) $\frac{1}{8} \times \frac{3}{5} = \frac{3}{40}$
20) $\frac{3}{7} \div \frac{1}{4} = \frac{3}{7} \times \frac{4}{1} = \frac{12}{7}$
21) $\frac{3}{10} \times \frac{3}{5} = \frac{9}{50}$
22) $\frac{2}{3} \div \frac{5}{8} = \frac{2}{3} \times \frac{8}{5} = \frac{16}{15}$
23) $\frac{7}{8} \times \frac{5}{6} = \frac{35}{48}$
24) $\frac{5}{9} \div \frac{4}{7} = \frac{5}{9} \times \frac{7}{4} = \frac{35}{36}$
Final Answer:
1) 9/20
2) 4/3
3) 3/20
4) 5/6
5) 3/20
6) 25/12
7) 12/35
8) 3/16
9) 5/12
10) 32/15
11) 8/45
12) 21/16
13) 4/25
14) 6/5
15) 2/21
16) 20/7
17) 6/35
18) 8/9
19) 3/40
20) 12/7
21) 9/50
22) 16/15
23) 35/48
24) 35/36
Parent Tip: Review the logic above to help your child master the concept of printable math worksheets multiplying and dividing fractions.