Printable math worksheet for multiplying fractions, featuring problems and a playful monster graphic.

To solve the problems in the worksheet, we need to multiply fractions and simplify the results to their lowest terms. Let's go through each problem step by step.

Problem 1: \( \frac{1}{10} \times \frac{6}{12} \)

1. Multiply the numerators: \( 1 \times 6 = 6 \)
2. Multiply the denominators: \( 10 \times 12 = 120 \)
3. Simplify \( \frac{6}{120} \):
- Find the greatest common divisor (GCD) of 6 and 120, which is 6.
- Divide both numerator and denominator by 6: \( \frac{6 \div 6}{120 \div 6} = \frac{1}{20} \)

Answer: \( \frac{1}{20} \)

Problem 2: \( \frac{3}{12} \times \frac{11}{15} \)

1. Multiply the numerators: \( 3 \times 11 = 33 \)
2. Multiply the denominators: \( 12 \times 15 = 180 \)
3. Simplify \( \frac{33}{180} \):
- Find the GCD of 33 and 180, which is 3.
- Divide both numerator and denominator by 3: \( \frac{33 \div 3}{180 \div 3} = \frac{11}{60} \)

Answer: \( \frac{11}{60} \)

Problem 3: \( \frac{2}{3} \times \frac{10}{16} \)

1. Multiply the numerators: \( 2 \times 10 = 20 \)
2. Multiply the denominators: \( 3 \times 16 = 48 \)
3. Simplify \( \frac{20}{48} \):
- Find the GCD of 20 and 48, which is 4.
- Divide both numerator and denominator by 4: \( \frac{20 \div 4}{48 \div 4} = \frac{5}{12} \)

Answer: \( \frac{5}{12} \)

Problem 4: \( \frac{3}{5} \times \frac{2}{4} \)

1. Multiply the numerators: \( 3 \times 2 = 6 \)
2. Multiply the denominators: \( 5 \times 4 = 20 \)
3. Simplify \( \frac{6}{20} \):
- Find the GCD of 6 and 20, which is 2.
- Divide both numerator and denominator by 2: \( \frac{6 \div 2}{20 \div 2} = \frac{3}{10} \)

Answer: \( \frac{3}{10} \)

Problem 5: \( \frac{10}{25} \times \frac{1}{2} \)

1. Multiply the numerators: \( 10 \times 1 = 10 \)
2. Multiply the denominators: \( 25 \times 2 = 50 \)
3. Simplify \( \frac{10}{50} \):
- Find the GCD of 10 and 50, which is 10.
- Divide both numerator and denominator by 10: \( \frac{10 \div 10}{50 \div 10} = \frac{1}{5} \)

Answer: \( \frac{1}{5} \)

Problem 6: \( \frac{3}{5} \times \frac{2}{5} \)

1. Multiply the numerators: \( 3 \times 2 = 6 \)
2. Multiply the denominators: \( 5 \times 5 = 25 \)
3. The fraction \( \frac{6}{25} \) is already in its simplest form.

Answer: \( \frac{6}{25} \)

Problem 7: \( \frac{10}{14} \times \frac{2}{7} \)

1. Multiply the numerators: \( 10 \times 2 = 20 \)
2. Multiply the denominators: \( 14 \times 7 = 98 \)
3. Simplify \( \frac{20}{98} \):
- Find the GCD of 20 and 98, which is 2.
- Divide both numerator and denominator by 2: \( \frac{20 \div 2}{98 \div 2} = \frac{10}{49} \)

Answer: \( \frac{10}{49} \)

Problem 8: \( \frac{3}{4} \times \frac{9}{12} \)

1. Multiply the numerators: \( 3 \times 9 = 27 \)
2. Multiply the denominators: \( 4 \times 12 = 48 \)
3. Simplify \( \frac{27}{48} \):
- Find the GCD of 27 and 48, which is 3.
- Divide both numerator and denominator by 3: \( \frac{27 \div 3}{48 \div 3} = \frac{9}{16} \)

Answer: \( \frac{9}{16} \)

Problem 9: \( \frac{2}{8} \times \frac{1}{6} \)

1. Multiply the numerators: \( 2 \times 1 = 2 \)
2. Multiply the denominators: \( 8 \times 6 = 48 \)
3. Simplify \( \frac{2}{48} \):
- Find the GCD of 2 and 48, which is 2.
- Divide both numerator and denominator by 2: \( \frac{2 \div 2}{48 \div 2} = \frac{1}{24} \)

Answer: \( \frac{1}{24} \)

Problem 10: \( \frac{3}{9} \times \frac{3}{7} \)

1. Multiply the numerators: \( 3 \times 3 = 9 \)
2. Multiply the denominators: \( 9 \times 7 = 63 \)
3. Simplify \( \frac{9}{63} \):
- Find the GCD of 9 and 63, which is 9.
- Divide both numerator and denominator by 9: \( \frac{9 \div 9}{63 \div 9} = \frac{1}{7} \)

Answer: \( \frac{1}{7} \)

Problem 11: \( \frac{1}{4} \times \frac{3}{10} \)

1. Multiply the numerators: \( 1 \times 3 = 3 \)
2. Multiply the denominators: \( 4 \times 10 = 40 \)
3. The fraction \( \frac{3}{40} \) is already in its simplest form.

Answer: \( \frac{3}{40} \)

Problem 12: \( \frac{7}{11} \times \frac{11}{12} \)

1. Multiply the numerators: \( 7 \times 11 = 77 \)
2. Multiply the denominators: \( 11 \times 12 = 132 \)
3. Simplify \( \frac{77}{132} \):
- Find the GCD of 77 and 132, which is 11.
- Divide both numerator and denominator by 11: \( \frac{77 \div 11}{132 \div 11} = \frac{7}{12} \)

Answer: \( \frac{7}{12} \)

Problem 13: \( \frac{5}{9} \times \frac{10}{25} \)

1. Multiply the numerators: \( 5 \times 10 = 50 \)
2. Multiply the denominators: \( 9 \times 25 = 225 \)
3. Simplify \( \frac{50}{225} \):
- Find the GCD of 50 and 225, which is 25.
- Divide both numerator and denominator by 25: \( \frac{50 \div 25}{225 \div 25} = \frac{2}{9} \)

Answer: \( \frac{2}{9} \)

Problem 14: \( \frac{2}{5} \times \frac{1}{14} \)

1. Multiply the numerators: \( 2 \times 1 = 2 \)
2. Multiply the denominators: \( 5 \times 14 = 70 \)
3. Simplify \( \frac{2}{70} \):
- Find the GCD of 2 and 70, which is 2.
- Divide both numerator and denominator by 2: \( \frac{2 \div 2}{70 \div 2} = \frac{1}{35} \)

Answer: \( \frac{1}{35} \)

Problem 15: \( \frac{2}{12} \times \frac{4}{6} \)

1. Multiply the numerators: \( 2 \times 4 = 8 \)
2. Multiply the denominators: \( 12 \times 6 = 72 \)
3. Simplify \( \frac{8}{72} \):
- Find the GCD of 8 and 72, which is 8.
- Divide both numerator and denominator by 8: \( \frac{8 \div 8}{72 \div 8} = \frac{1}{9} \)

Answer: \( \frac{1}{9} \)

Problem 16: \( \frac{12}{16} \times \frac{3}{6} \)

1. Multiply the numerators: \( 12 \times 3 = 36 \)
2. Multiply the denominators: \( 16 \times 6 = 96 \)
3. Simplify \( \frac{36}{96} \):
- Find the GCD of 36 and 96, which is 12.
- Divide both numerator and denominator by 12: \( \frac{36 \div 12}{96 \div 12} = \frac{3}{8} \)

Answer: \( \frac{3}{8} \)

Problem 17: \( \frac{4}{5} \times \frac{1}{3} \)

1. Multiply the numerators: \( 4 \times 1 = 4 \)
2. Multiply the denominators: \( 5 \times 3 = 15 \)
3. The fraction \( \frac{4}{15} \) is already in its simplest form.

Answer: \( \frac{4}{15} \)

Problem 18: \( \frac{14}{20} \times \frac{8}{9} \)

1. Multiply the numerators: \( 14 \times 8 = 112 \)
2. Multiply the denominators: \( 20 \times 9 = 180 \)
3. Simplify \( \frac{112}{180} \):
- Find the GCD of 112 and 180, which is 4.
- Divide both numerator and denominator by 4: \( \frac{112 \div 4}{180 \div 4} = \frac{28}{45} \)

Answer: \( \frac{28}{45} \)

Problem 19: \( \frac{2}{7} \times \frac{10}{18} \)

1. Multiply the numerators: \( 2 \times 10 = 20 \)
2. Multiply the denominators: \( 7 \times 18 = 126 \)
3. Simplify \( \frac{20}{126} \):
- Find the GCD of 20 and 126, which is 2.
- Divide both numerator and denominator by 2: \( \frac{20 \div 2}{126 \div 2} = \frac{10}{63} \)

Answer: \( \frac{10}{63} \)

Problem 20: \( \frac{7}{9} \times \frac{10}{20} \)

1. Multiply the numerators: \( 7 \times 10 = 70 \)
2. Multiply the denominators: \( 9 \times 20 = 180 \)
3. Simplify \( \frac{70}{180} \):
- Find the GCD of 70 and 180, which is 10.
- Divide both numerator and denominator by 10: \( \frac{70 \div 10}{180 \div 10} = \frac{7}{18} \)

Answer: \( \frac{7}{18} \)

Problem 21: \( \frac{1}{9} \times \frac{6}{7} \)

1. Multiply the numerators: \( 1 \times 6 = 6 \)
2. Multiply the denominators: \( 9 \times 7 = 63 \)
3. The fraction \( \frac{6}{63} \) is already in its simplest form.

Answer: \( \frac{6}{63} \)

Problem 22: \( \frac{3}{5} \times \frac{2}{4} \)

1. Multiply the numerators: \( 3 \times 2 = 6 \)
2. Multiply the denominators: \( 5 \times 4 = 20 \)
3. Simplify \( \frac{6}{20} \):
- Find the GCD of 6 and 20, which is 2.
- Divide both numerator and denominator by 2: \( \frac{6 \div 2}{20 \div 2} = \frac{3}{10} \)

Answer: \( \frac{3}{10} \)

Final Answer:

\[
\boxed{
\begin{array}{lll}
\frac{1}{20} & \frac{11}{60} & \\
\frac{5}{12} & \frac{3}{10} & \\
\frac{1}{5} & \frac{6}{25} & \frac{10}{49} \\
\frac{9}{16} & \frac{1}{24} & \frac{1}{7} \\
\frac{3}{40} & \frac{7}{12} & \frac{2}{9} \\
\frac{1}{35} & \frac{1}{9} & \frac{3}{8} \\
\frac{4}{15} & \frac{28}{45} & \frac{10}{63} \\
\frac{7}{18} & \frac{6}{63} & \frac{3}{10} \\
\end{array}
}
\]