What is 76/85 Divided By 4/5

Solving $\frac{76}{85}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{85} \div \frac{4}{5} = \frac{76}{85} \times \frac{5}{4}$

• Multiply the Numerators: $76 \times 5 = 380$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{76}{85} \times \frac{4}{5} = \frac{380}{340}$

Let's Simplify $\frac{380}{340}$

• Find the Greatest Common Divisor (GCD) of $380$ and $340$. The GCD of $380$ and $340$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{380 \div 20}{340 \div 20} = \frac{19}{17}$

Answer $\frac{76}{85}\div\frac{4}{5} = \frac{19}{17}$

The following animation demonstrates the divide-by,