What is 76/85 Divided By 8/3

Solving $\frac{76}{85}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{85} \div \frac{8}{3} = \frac{76}{85} \times \frac{3}{8}$

• Multiply the Numerators: $76 \times 3 = 228$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{76}{85} \times \frac{8}{3} = \frac{228}{680}$

Let's Simplify $\frac{228}{680}$

• Find the Greatest Common Divisor (GCD) of $228$ and $680$. The GCD of $228$ and $680$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{228 \div 4}{680 \div 4} = \frac{57}{170}$

Answer $\frac{76}{85}\div\frac{8}{3} = \frac{57}{170}$

The following animation demonstrates the divide-by,