What is 76/95 Divided By 7/5

Solving $\frac{76}{95}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{95} \div \frac{7}{5} = \frac{76}{95} \times \frac{5}{7}$

• Multiply the Numerators: $76 \times 5 = 380$
• Multiply the Denominators: $95 \times 7 = 665$
• Form the New Fraction: $\frac{76}{95} \times \frac{7}{5} = \frac{380}{665}$

Let's Simplify $\frac{380}{665}$

• Find the Greatest Common Divisor (GCD) of $380$ and $665$. The GCD of $380$ and $665$ is $95$.
• Divide both the numerator and the denominator by the GCD:$\frac{380 \div 95}{665 \div 95} = \frac{4}{7}$

Answer $\frac{76}{95}\div\frac{7}{5} = \frac{4}{7}$

The following animation demonstrates the divide-by,