What is 52/38 Divided By 4/5

Solving $\frac{52}{38}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{38} \div \frac{4}{5} = \frac{52}{38} \times \frac{5}{4}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $38 \times 4 = 152$
• Form the New Fraction: $\frac{52}{38} \times \frac{4}{5} = \frac{260}{152}$

Let's Simplify $\frac{260}{152}$

• Find the Greatest Common Divisor (GCD) of $260$ and $152$. The GCD of $260$ and $152$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{260 \div 4}{152 \div 4} = \frac{65}{38}$

Answer $\frac{52}{38}\div\frac{4}{5} = \frac{65}{38}$

The following animation demonstrates the divide-by,