What is 76/89 Divided By 4/5

Solving $\frac{76}{89}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{89} \div \frac{4}{5} = \frac{76}{89} \times \frac{5}{4}$

• Multiply the Numerators: $76 \times 5 = 380$
• Multiply the Denominators: $89 \times 4 = 356$
• Form the New Fraction: $\frac{76}{89} \times \frac{4}{5} = \frac{380}{356}$

Let's Simplify $\frac{380}{356}$

• Find the Greatest Common Divisor (GCD) of $380$ and $356$. The GCD of $380$ and $356$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{380 \div 4}{356 \div 4} = \frac{95}{89}$

Answer $\frac{76}{89}\div\frac{4}{5} = \frac{95}{89}$

The following animation demonstrates the divide-by,