What is 74/27 Divided By 4/8

Solving $\frac{74}{27}\div\frac{4}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{27} \div \frac{4}{8} = \frac{74}{27} \times \frac{8}{4}$

• Multiply the Numerators: $74 \times 8 = 592$
• Multiply the Denominators: $27 \times 4 = 108$
• Form the New Fraction: $\frac{74}{27} \times \frac{4}{8} = \frac{592}{108}$

Let's Simplify $\frac{592}{108}$

• Find the Greatest Common Divisor (GCD) of $592$ and $108$. The GCD of $592$ and $108$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{592 \div 4}{108 \div 4} = \frac{148}{27}$

Answer $\frac{74}{27}\div\frac{4}{8} = \frac{148}{27}$

The following animation demonstrates the divide-by,