What is 52/45 Divided By 4/7

Solving $\frac{52}{45}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{45} \div \frac{4}{7} = \frac{52}{45} \times \frac{7}{4}$

• Multiply the Numerators: $52 \times 7 = 364$
• Multiply the Denominators: $45 \times 4 = 180$
• Form the New Fraction: $\frac{52}{45} \times \frac{4}{7} = \frac{364}{180}$

Let's Simplify $\frac{364}{180}$

• Find the Greatest Common Divisor (GCD) of $364$ and $180$. The GCD of $364$ and $180$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{364 \div 4}{180 \div 4} = \frac{91}{45}$

Answer $\frac{52}{45}\div\frac{4}{7} = \frac{91}{45}$

The following animation demonstrates the divide-by,