What is 52/88 Divided By 7/5

Solving $\frac{52}{88}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{88} \div \frac{7}{5} = \frac{52}{88} \times \frac{5}{7}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $88 \times 7 = 616$
• Form the New Fraction: $\frac{52}{88} \times \frac{7}{5} = \frac{260}{616}$

Let's Simplify $\frac{260}{616}$

• Find the Greatest Common Divisor (GCD) of $260$ and $616$. The GCD of $260$ and $616$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 4}{616 \div 4} = \frac{65}{154}$

Answer $\frac{52}{88}\div\frac{7}{5} = \frac{65}{154}$

The following animation demonstrates the divide-by,