What is 60/85 Divided By 8/6

Solving $\frac{60}{85}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{85} \div \frac{8}{6} = \frac{60}{85} \times \frac{6}{8}$

• Multiply the Numerators: $60 \times 6 = 360$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{60}{85} \times \frac{8}{6} = \frac{360}{680}$

Let's Simplify $\frac{360}{680}$

• Find the Greatest Common Divisor (GCD) of $360$ and $680$. The GCD of $360$ and $680$ is $40$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 40}{680 \div 40} = \frac{9}{17}$

Answer $\frac{60}{85}\div\frac{8}{6} = \frac{9}{17}$

The following animation demonstrates the divide-by,