What is 76/75 Divided By 4/7

Solving $\frac{76}{75}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{75} \div \frac{4}{7} = \frac{76}{75} \times \frac{7}{4}$

• Multiply the Numerators: $76 \times 7 = 532$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{76}{75} \times \frac{4}{7} = \frac{532}{300}$

Let's Simplify $\frac{532}{300}$

• Find the Greatest Common Divisor (GCD) of $532$ and $300$. The GCD of $532$ and $300$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{532 \div 4}{300 \div 4} = \frac{133}{75}$

Answer $\frac{76}{75}\div\frac{4}{7} = \frac{133}{75}$

The following animation demonstrates the divide-by,