What is 75/85 Divided By 8/3

Solving $\frac{75}{85}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{85} \div \frac{8}{3} = \frac{75}{85} \times \frac{3}{8}$

• Multiply the Numerators: $75 \times 3 = 225$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{75}{85} \times \frac{8}{3} = \frac{225}{680}$

Let's Simplify $\frac{225}{680}$

• Find the Greatest Common Divisor (GCD) of $225$ and $680$. The GCD of $225$ and $680$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 5}{680 \div 5} = \frac{45}{136}$

Answer $\frac{75}{85}\div\frac{8}{3} = \frac{45}{136}$

The following animation demonstrates the divide-by,