Fractions Practice Questions: Sharpen Your Skills

➕ Addition of Fractions ➕

• Question 1: What is $\frac{1}{4} + \frac{2}{4}$?
• Answer: Since the denominators are the same, simply add the numerators: $\frac{1+2}{4} = \frac{3}{4}$.

• Question 2: What is $\frac{1}{3} + \frac{1}{6}$?
• Answer: First, find a common denominator (6 in this case). Then, $\frac{1}{3} = \frac{2}{6}$. So, $\frac{2}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2}$.

➖ Subtraction of Fractions ➖

• Question 3: What is $\frac{3}{5} - \frac{1}{5}$?
• Answer: Subtract the numerators since the denominators are the same: $\frac{3-1}{5} = \frac{2}{5}$.

• Question 4: What is $\frac{1}{2} - \frac{1}{3}$?
• Answer: Find a common denominator (6). Then, $\frac{3}{6} - \frac{2}{6} = \frac{1}{6}$.

✖️ Multiplication of Fractions ✖️

• Question 5: What is $\frac{2}{3} \times \frac{1}{2}$?
• Answer: Multiply the numerators and the denominators: $\frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3}$.

• Question 6: What is $\frac{3}{4} \times \frac{2}{5}$?
• Answer: $\frac{3 \times 2}{4 \times 5} = \frac{6}{20} = \frac{3}{10}$.

➗ Division of Fractions ➗

• Question 7: What is $\frac{1}{2} \div \frac{1}{4}$?
• Answer: Invert the second fraction and multiply: $\frac{1}{2} \times \frac{4}{1} = \frac{4}{2} = 2$.

• Question 8: What is $\frac{2}{5} \div \frac{1}{3}$?
• Answer: $\frac{2}{5} \times \frac{3}{1} = \frac{6}{5}$.

🧮 Mixed Operations 🧮

• Question 9: What is $(\frac{1}{2} + \frac{1}{4}) \times \frac{2}{3}$?
• Answer: First, $\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4}$. Then, $\frac{3}{4} \times \frac{2}{3} = \frac{6}{12} = \frac{1}{2}$.

• Question 10: What is $\frac{4}{5} - \frac{1}{2} \div \frac{5}{6}$?
• Answer: First, $\frac{1}{2} \div \frac{5}{6} = \frac{1}{2} \times \frac{6}{5} = \frac{6}{10} = \frac{3}{5}$. Then, $\frac{4}{5} - \frac{3}{5} = \frac{1}{5}$.