What is 75/85 Divided By 8/6

Solving $\frac{75}{85}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{85} \div \frac{8}{6} = \frac{75}{85} \times \frac{6}{8}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{75}{85} \times \frac{8}{6} = \frac{450}{680}$

Let's Simplify $\frac{450}{680}$

• Find the Greatest Common Divisor (GCD) of $450$ and $680$. The GCD of $450$ and $680$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 10}{680 \div 10} = \frac{45}{68}$

Answer $\frac{75}{85}\div\frac{8}{6} = \frac{45}{68}$

The following animation demonstrates the divide-by,