What is 74/88 Divided By 1/4

Solving $\frac{74}{88}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{88} \div \frac{1}{4} = \frac{74}{88} \times \frac{4}{1}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $88 \times 1 = 88$
• Form the New Fraction: $\frac{74}{88} \times \frac{1}{4} = \frac{296}{88}$

Let's Simplify $\frac{296}{88}$

• Find the Greatest Common Divisor (GCD) of $296$ and $88$. The GCD of $296$ and $88$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{296 \div 8}{88 \div 8} = \frac{37}{11}$

Answer $\frac{74}{88}\div\frac{1}{4} = \frac{37}{11}$

The following animation demonstrates the divide-by,