What is 54/72 Divided By 5/6

Solving $\frac{54}{72}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{72} \div \frac{5}{6} = \frac{54}{72} \times \frac{6}{5}$

• Multiply the Numerators: $54 \times 6 = 324$
• Multiply the Denominators: $72 \times 5 = 360$
• Form the New Fraction: $\frac{54}{72} \times \frac{5}{6} = \frac{324}{360}$

Let's Simplify $\frac{324}{360}$

• Find the Greatest Common Divisor (GCD) of $324$ and $360$. The GCD of $324$ and $360$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{324 \div 36}{360 \div 36} = \frac{9}{10}$

Answer $\frac{54}{72}\div\frac{5}{6} = \frac{9}{10}$

The following animation demonstrates the divide-by,