To multiply fractions, start by multiplying the numerators (the top numbers) together and the denominators (the bottom numbers) together. For example, to multiply \(\frac{2}{3}\) and \(\frac{4}{5}\), calculate \(2 \times 4 = 8\) for the numerator and \(3 \times 5 = 15\) for the denominator, resulting in \(\frac{8}{15}\). If the fractions include whole numbers, first convert them to fractions (e.g., 2 becomes \(\frac{2}{1}\)). After multiplying, simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor, if possible. This process works for any number of fractions, such as multiplying three: \(\frac{1}{2} \times \frac{3}{4} \times \frac{5}{6} = \frac{1 \times 3 \times 5}{2 \times 4 \times 6} = \frac{15}{48}\), which simplifies to \(\frac{5}{16}\). Always double-check your work to ensure accuracy.
Table of contents
- Part 1: Create an amazing multiply fractions quiz using AI instantly in OnlineExamMaker
- Part 2: 20 multiply fractions quiz questions & answers
- Part 3: Try OnlineExamMaker AI Question Generator to create quiz questions
Part 1: Create an amazing multiply fractions quiz using AI instantly in OnlineExamMaker
Nowadays more and more people create multiply fractions quizzes using AI technologies, OnlineExamMaker a powerful AI-based quiz making tool that can save you time and efforts. The software makes it simple to design and launch interactive quizzes, assessments, and surveys. With the Question Editor, you can create multiple-choice, open-ended, matching, sequencing and many other types of questions for your tests, exams and inventories. You are allowed to enhance quizzes with multimedia elements like images, audio, and video to make them more interactive and visually appealing.
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Part 2: 20 multiply fractions quiz questions & answers
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1. Question: What is the product of \(\frac{2}{3}\) and \(\frac{4}{5}\)?
A) \(\frac{8}{15}\)
B) \(\frac{6}{8}\)
C) \(\frac{8}{10}\)
D) \(\frac{4}{5}\)
Answer: A) \(\frac{8}{15}\)
Explanation: Multiply the numerators: 2 × 4 = 8. Multiply the denominators: 3 × 5 = 15. The result is \(\frac{8}{15}\), which is already in simplest form.
2. Question: Multiply \(\frac{3}{4}\) by \(\frac{2}{5}\).
A) \(\frac{6}{20}\)
B) \(\frac{3}{10}\)
C) \(\frac{6}{9}\)
D) \(\frac{5}{8}\)
Answer: B) \(\frac{3}{10}\)
Explanation: Multiply numerators: 3 × 2 = 6. Multiply denominators: 4 × 5 = 20. Simplify \(\frac{6}{20}\) by dividing both by 2 to get \(\frac{3}{10}\).
3. Question: What is \(\frac{1}{2} \times \frac{3}{4}\)?
A) \(\frac{3}{8}\)
B) \(\frac{4}{6}\)
C) \(\frac{1}{4}\)
D) \(\frac{3}{6}\)
Answer: A) \(\frac{3}{8}\)
Explanation: Numerators: 1 × 3 = 3. Denominators: 2 × 4 = 8. The result is \(\frac{3}{8}\).
4. Question: Calculate \(\frac{5}{6} \times \frac{2}{3}\).
A) \(\frac{10}{18}\)
B) \(\frac{5}{9}\)
C) \(\frac{10}{9}\)
D) \(\frac{7}{9}\)
Answer: B) \(\frac{5}{9}\)
Explanation: Multiply: 5 × 2 = 10 and 6 × 3 = 18. Simplify \(\frac{10}{18}\) by dividing by 2 to get \(\frac{5}{9}\).
5. Question: What is the result of \(\frac{4}{7} \times \frac{3}{5}\)?
A) \(\frac{12}{35}\)
B) \(\frac{7}{10}\)
C) \(\frac{12}{12}\)
D) \(\frac{4}{5}\)
Answer: A) \(\frac{12}{35}\)
Explanation: Numerators: 4 × 3 = 12. Denominators: 7 × 5 = 35. \(\frac{12}{35}\) is already simplified.
6. Question: Multiply \(\frac{7}{8}\) by \(\frac{1}{2}\).
A) \(\frac{7}{16}\)
B) \(\frac{8}{10}\)
C) \(\frac{7}{10}\)
D) \(\frac{1}{8}\)
Answer: A) \(\frac{7}{16}\)
Explanation: 7 × 1 = 7 and 8 × 2 = 16. The fraction \(\frac{7}{16}\) is in simplest form.
7. Question: What is \(\frac{2}{5} \times \frac{5}{6}\)?
A) \(\frac{10}{30}\)
B) \(\frac{2}{6}\)
C) \(\frac{1}{3}\)
D) \(\frac{10}{11}\)
Answer: C) \(\frac{1}{3}\)
Explanation: Multiply: 2 × 5 = 10 and 5 × 6 = 30. Simplify \(\frac{10}{30}\) by dividing by 10 to get \(\frac{1}{3}\).
8. Question: Calculate \(\frac{3}{5} \times \frac{4}{7}\).
A) \(\frac{12}{35}\)
B) \(\frac{7}{9}\)
C) \(\frac{12}{14}\)
D) \(\frac{3}{7}\)
Answer: A) \(\frac{12}{35}\)
Explanation: Numerators: 3 × 4 = 12. Denominators: 5 × 7 = 35. The result is \(\frac{12}{35}\).
9. Question: What is the product of \(\frac{1}{3}\) and \(\frac{9}{10}\)?
A) \(\frac{9}{30}\)
B) \(\frac{3}{10}\)
C) \(\frac{9}{13}\)
D) \(\frac{1}{10}\)
Answer: B) \(\frac{3}{10}\)
Explanation: 1 × 9 = 9 and 3 × 10 = 30. Simplify \(\frac{9}{30}\) by dividing by 3 to get \(\frac{3}{10}\).
10. Question: Multiply \(\frac{5}{9}\) by \(\frac{3}{4}\).
A) \(\frac{15}{36}\)
B) \(\frac{5}{12}\)
C) \(\frac{15}{13}\)
D) \(\frac{8}{9}\)
Answer: B) \(\frac{5}{12}\)
Explanation: 5 × 3 = 15 and 9 × 4 = 36. Simplify \(\frac{15}{36}\) by dividing by 3 to get \(\frac{5}{12}\).
11. Question: What is \(\frac{2}{7} \times \frac{7}{8}\)?
A) \(\frac{14}{56}\)
B) \(\frac{2}{8}\)
C) \(\frac{1}{4}\)
D) \(\frac{14}{15}\)
Answer: C) \(\frac{1}{4}\)
Explanation: Multiply: 2 × 7 = 14 and 7 × 8 = 56. Simplify \(\frac{14}{56}\) by dividing by 14 to get \(\frac{1}{4}\).
12. Question: Calculate \(\frac{4}{5} \times \frac{5}{6}\).
A) \(\frac{20}{30}\)
B) \(\frac{2}{3}\)
C) \(\frac{20}{11}\)
D) \(\frac{4}{6}\)
Answer: B) \(\frac{2}{3}\)
Explanation: 4 × 5 = 20 and 5 × 6 = 30. Simplify \(\frac{20}{30}\) by dividing by 10 to get \(\frac{2}{3}\).
13. Question: What is the result of \(\frac{3}{8} \times \frac{4}{9}\)?
A) \(\frac{12}{72}\)
B) \(\frac{1}{6}\)
C) \(\frac{12}{17}\)
D) \(\frac{3}{9}\)
Answer: B) \(\frac{1}{6}\)
Explanation: Multiply: 3 × 4 = 12 and 8 × 9 = 72. Simplify \(\frac{12}{72}\) by dividing by 12 to get \(\frac{1}{6}\).
14. Question: Multiply \(\frac{1}{4} \times \frac{8}{9}\).
A) \(\frac{8}{36}\)
B) \(\frac{2}{9}\)
C) \(\frac{8}{13}\)
D) \(\frac{1}{9}\)
Answer: B) \(\frac{2}{9}\)
Explanation: 1 × 8 = 8 and 4 × 9 = 36. Simplify \(\frac{8}{36}\) by dividing by 4 to get \(\frac{2}{9}\).
15. Question: What is \(\frac{5}{7} \times \frac{2}{5}\)?
A) \(\frac{10}{35}\)
B) \(\frac{2}{7}\)
C) \(\frac{10}{12}\)
D) \(\frac{5}{10}\)
Answer: B) \(\frac{2}{7}\)
Explanation: 5 × 2 = 10 and 7 × 5 = 35. Simplify \(\frac{10}{35}\) by dividing by 5 to get \(\frac{2}{7}\).
16. Question: Calculate \(\frac{6}{11} \times \frac{1}{2}\).
A) \(\frac{6}{22}\)
B) \(\frac{3}{11}\)
C) \(\frac{6}{13}\)
D) \(\frac{1}{11}\)
Answer: B) \(\frac{3}{11}\)
Explanation: 6 × 1 = 6 and 11 × 2 = 22. Simplify \(\frac{6}{22}\) by dividing by 2 to get \(\frac{3}{11}\).
17. Question: What is the product of \(\frac{7}{9}\) and \(\frac{3}{7}\)?
A) \(\frac{21}{63}\)
B) \(\frac{1}{3}\)
C) \(\frac{21}{16}\)
D) \(\frac{7}{3}\)
Answer: B) \(\frac{1}{3}\)
Explanation: Multiply: 7 × 3 = 21 and 9 × 7 = 63. Simplify \(\frac{21}{63}\) by dividing by 21 to get \(\frac{1}{3}\).
18. Question: Multiply \(\frac{2}{9} \times \frac{9}{10}\).
A) \(\frac{18}{90}\)
B) \(\frac{1}{5}\)
C) \(\frac{18}{19}\)
D) \(\frac{2}{10}\)
Answer: B) \(\frac{1}{5}\)
Explanation: 2 × 9 = 18 and 9 × 10 = 90. Simplify \(\frac{18}{90}\) by dividing by 18 to get \(\frac{1}{5}\).
19. Question: What is \(\frac{4}{9} \times \frac{3}{8}\)?
A) \(\frac{12}{72}\)
B) \(\frac{1}{6}\)
C) \(\frac{12}{17}\)
D) \(\frac{4}{8}\)
Answer: B) \(\frac{1}{6}\)
Explanation: Multiply: 4 × 3 = 12 and 9 × 8 = 72. Simplify \(\frac{12}{72}\) by dividing by 12 to get \(\frac{1}{6}\).
20. Question: Calculate \(\frac{5}{8} \times \frac{4}{5}\).
A) \(\frac{20}{40}\)
B) \(\frac{1}{2}\)
C) \(\frac{20}{13}\)
D) \(\frac{5}{10}\)
Answer: B) \(\frac{1}{2}\)
Explanation: 5 × 4 = 20 and 8 × 5 = 40. Simplify \(\frac{20}{40}\) by dividing by 20 to get \(\frac{1}{2}\).
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