What is 76/85 Divided By 4/9

Solving $\frac{76}{85}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{85} \div \frac{4}{9} = \frac{76}{85} \times \frac{9}{4}$

• Multiply the Numerators: $76 \times 9 = 684$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{76}{85} \times \frac{4}{9} = \frac{684}{340}$

Let's Simplify $\frac{684}{340}$

• Find the Greatest Common Divisor (GCD) of $684$ and $340$. The GCD of $684$ and $340$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{684 \div 4}{340 \div 4} = \frac{171}{85}$

Answer $\frac{76}{85}\div\frac{4}{9} = \frac{171}{85}$

The following animation demonstrates the divide-by,