What is 72/85 Divided By 6/5

Solving $\frac{72}{85}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{85} \div \frac{6}{5} = \frac{72}{85} \times \frac{5}{6}$

• Multiply the Numerators: $72 \times 5 = 360$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{72}{85} \times \frac{6}{5} = \frac{360}{510}$

Let's Simplify $\frac{360}{510}$

• Find the Greatest Common Divisor (GCD) of $360$ and $510$. The GCD of $360$ and $510$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 30}{510 \div 30} = \frac{12}{17}$

Answer $\frac{72}{85}\div\frac{6}{5} = \frac{12}{17}$

The following animation demonstrates the divide-by,