What is 91/76 Divided By 7/2

Solving $\frac{91}{76}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{76} \div \frac{7}{2} = \frac{91}{76} \times \frac{2}{7}$

• Multiply the Numerators: $91 \times 2 = 182$
• Multiply the Denominators: $76 \times 7 = 532$
• Form the New Fraction: $\frac{91}{76} \times \frac{7}{2} = \frac{182}{532}$

Let's Simplify $\frac{182}{532}$

• Find the Greatest Common Divisor (GCD) of $182$ and $532$. The GCD of $182$ and $532$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{182 \div 14}{532 \div 14} = \frac{13}{38}$

Answer $\frac{91}{76}\div\frac{7}{2} = \frac{13}{38}$

The following animation demonstrates the divide-by,