What is 76/52 Divided By 4/7

Solving $\frac{76}{52}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{52} \div \frac{4}{7} = \frac{76}{52} \times \frac{7}{4}$

• Multiply the Numerators: $76 \times 7 = 532$
• Multiply the Denominators: $52 \times 4 = 208$
• Form the New Fraction: $\frac{76}{52} \times \frac{4}{7} = \frac{532}{208}$

Let's Simplify $\frac{532}{208}$

• Find the Greatest Common Divisor (GCD) of $532$ and $208$. The GCD of $532$ and $208$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{532 \div 4}{208 \div 4} = \frac{133}{52}$

Answer $\frac{76}{52}\div\frac{4}{7} = \frac{133}{52}$

The following animation demonstrates the divide-by,