What is 24/85 Divided By 6/5

Solving $\frac{24}{85}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{85} \div \frac{6}{5} = \frac{24}{85} \times \frac{5}{6}$

• Multiply the Numerators: $24 \times 5 = 120$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{24}{85} \times \frac{6}{5} = \frac{120}{510}$

Let's Simplify $\frac{120}{510}$

• Find the Greatest Common Divisor (GCD) of $120$ and $510$. The GCD of $120$ and $510$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{120 \div 30}{510 \div 30} = \frac{4}{17}$

Answer $\frac{24}{85}\div\frac{6}{5} = \frac{4}{17}$

The following animation demonstrates the divide-by,