What is 27/72 Divided By 9/4

Solving $\frac{27}{72}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{72} \div \frac{9}{4} = \frac{27}{72} \times \frac{4}{9}$

• Multiply the Numerators: $27 \times 4 = 108$
• Multiply the Denominators: $72 \times 9 = 648$
• Form the New Fraction: $\frac{27}{72} \times \frac{9}{4} = \frac{108}{648}$

Let's Simplify $\frac{108}{648}$

• Find the Greatest Common Divisor (GCD) of $108$ and $648$. The GCD of $108$ and $648$ is $108$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 108}{648 \div 108} = \frac{1}{6}$

Answer $\frac{27}{72}\div\frac{9}{4} = \frac{1}{6}$

The following animation demonstrates the divide-by,