What is 52/48 Divided By 4/7

Solving $\frac{52}{48}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{48} \div \frac{4}{7} = \frac{52}{48} \times \frac{7}{4}$

• Multiply the Numerators: $52 \times 7 = 364$
• Multiply the Denominators: $48 \times 4 = 192$
• Form the New Fraction: $\frac{52}{48} \times \frac{4}{7} = \frac{364}{192}$

Let's Simplify $\frac{364}{192}$

• Find the Greatest Common Divisor (GCD) of $364$ and $192$. The GCD of $364$ and $192$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{364 \div 4}{192 \div 4} = \frac{91}{48}$

Answer $\frac{52}{48}\div\frac{4}{7} = \frac{91}{48}$

The following animation demonstrates the divide-by,