What is 74/72 Divided By 6/8

Solving $\frac{74}{72}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{72} \div \frac{6}{8} = \frac{74}{72} \times \frac{8}{6}$

• Multiply the Numerators: $74 \times 8 = 592$
• Multiply the Denominators: $72 \times 6 = 432$
• Form the New Fraction: $\frac{74}{72} \times \frac{6}{8} = \frac{592}{432}$

Let's Simplify $\frac{592}{432}$

• Find the Greatest Common Divisor (GCD) of $592$ and $432$. The GCD of $592$ and $432$ is $16$.
• Divide both the numerator and the denominator by the GCD:$\frac{592 \div 16}{432 \div 16} = \frac{37}{27}$

Answer $\frac{74}{72}\div\frac{6}{8} = \frac{37}{27}$

The following animation demonstrates the divide-by,