What is 72/85 Divided By 4/5

Solving $\frac{72}{85}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{85} \div \frac{4}{5} = \frac{72}{85} \times \frac{5}{4}$

• Multiply the Numerators: $72 \times 5 = 360$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{72}{85} \times \frac{4}{5} = \frac{360}{340}$

Let's Simplify $\frac{360}{340}$

• Find the Greatest Common Divisor (GCD) of $360$ and $340$. The GCD of $360$ and $340$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 20}{340 \div 20} = \frac{18}{17}$

Answer $\frac{72}{85}\div\frac{4}{5} = \frac{18}{17}$

The following animation demonstrates the divide-by,