What is 53/76 Divided By 5/8

Solving $\frac{53}{76}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{76} \div \frac{5}{8} = \frac{53}{76} \times \frac{8}{5}$

• Multiply the Numerators: $53 \times 8 = 424$
• Multiply the Denominators: $76 \times 5 = 380$
• Form the New Fraction: $\frac{53}{76} \times \frac{5}{8} = \frac{424}{380}$

Let's Simplify $\frac{424}{380}$

• Find the Greatest Common Divisor (GCD) of $424$ and $380$. The GCD of $424$ and $380$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{424 \div 4}{380 \div 4} = \frac{106}{95}$

Answer $\frac{53}{76}\div\frac{5}{8} = \frac{106}{95}$

The following animation demonstrates the divide-by,