What is 42/72 Divided By 9/8

Solving $\frac{42}{72}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{72} \div \frac{9}{8} = \frac{42}{72} \times \frac{8}{9}$

• Multiply the Numerators: $42 \times 8 = 336$
• Multiply the Denominators: $72 \times 9 = 648$
• Form the New Fraction: $\frac{42}{72} \times \frac{9}{8} = \frac{336}{648}$

Let's Simplify $\frac{336}{648}$

• Find the Greatest Common Divisor (GCD) of $336$ and $648$. The GCD of $336$ and $648$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{336 \div 24}{648 \div 24} = \frac{14}{27}$

Answer $\frac{42}{72}\div\frac{9}{8} = \frac{14}{27}$

The following animation demonstrates the divide-by,