Question

3/10 ÷ 2/4 what is the quotient of these fractions in lowest terms? options: 6/10, 3/5, 6/40, 12/20

Explanation:

Step1: Recall fraction division rule

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. So, $\frac{3}{10} \div \frac{2}{4} = \frac{3}{10} \times \frac{4}{2}$.

Step2: Multiply numerators and denominators

Multiply the numerators: $3 \times 4 = 12$. Multiply the denominators: $10 \times 2 = 20$. So we get $\frac{12}{20}$.

Step3: Simplify the fraction

Find the greatest common divisor (GCD) of 12 and 20, which is 4. Divide both numerator and denominator by 4: $\frac{12 \div 4}{20 \div 4} = \frac{3}{5}$.

Answer:

B. 3/5