What is 76/38 Divided By 4/7

Solving $\frac{76}{38}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{38} \div \frac{4}{7} = \frac{76}{38} \times \frac{7}{4}$

• Multiply the Numerators: $76 \times 7 = 532$
• Multiply the Denominators: $38 \times 4 = 152$
• Form the New Fraction: $\frac{76}{38} \times \frac{4}{7} = \frac{532}{152}$

Let's Simplify $\frac{532}{152}$

• Find the Greatest Common Divisor (GCD) of $532$ and $152$. The GCD of $532$ and $152$ is $76$.
• Divide both the numerator and the denominator by the GCD:$\frac{532 \div 76}{152 \div 76} = \frac{7}{2}$

Answer $\frac{76}{38}\div\frac{4}{7} = \frac{7}{2}$

The following animation demonstrates the divide-by,