Solved examples of dividing fractions by whole numbers with solutions

📚 Quick Study Guide

• ➗ Dividing a fraction by a whole number is the same as multiplying the fraction by the reciprocal of the whole number.
• 💡 Remember that any whole number can be written as a fraction with a denominator of 1 (e.g., 5 = $\frac{5}{1}$).
• 🔄 The reciprocal of a number is found by swapping the numerator and denominator. For example, the reciprocal of $\frac{a}{b}$ is $\frac{b}{a}$. The reciprocal of 5 (or $\frac{5}{1}$) is $\frac{1}{5}$.
• 📝 When multiplying fractions, multiply the numerators together and the denominators together: $\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$.
• ➕ Simplify the resulting fraction to its lowest terms, if possible.

Practice Quiz

1. What is $\frac{1}{2}$ divided by 3?
1. $\frac{1}{6}$
2. $\frac{3}{2}$
3. $\frac{2}{3}$
4. $\frac{1}{5}$
2. Calculate $\frac{2}{5} \div 4$.
1. $\frac{8}{5}$
2. $\frac{1}{10}$
3. $\frac{2}{20}$
4. $\frac{5}{8}$
3. Solve: $\frac{3}{4} \div 2$
1. $\frac{3}{8}$
2. $\frac{6}{4}$
3. $\frac{4}{6}$
4. $\frac{8}{3}$
4. What is the result of $\frac{5}{6} \div 5$?
1. $\frac{25}{6}$
2. $\frac{6}{25}$
3. $\frac{1}{6}$
4. $\frac{5}{30}$
5. Evaluate $\frac{7}{8} \div 7$.
1. $\frac{49}{8}$
2. $\frac{8}{49}$
3. $\frac{1}{8}$
4. $\frac{7}{56}$
6. Compute $\frac{4}{9} \div 2$.
1. $\frac{8}{9}$
2. $\frac{9}{8}$
3. $\frac{2}{9}$
4. $\frac{4}{18}$
7. Find the value of $\frac{9}{10} \div 3$.
1. $\frac{27}{10}$
2. $\frac{10}{27}$
3. $\frac{3}{10}$
4. $\frac{9}{30}$