What is 91/63 Divided By 1/4

Solving $\frac{91}{63}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{63} \div \frac{1}{4} = \frac{91}{63} \times \frac{4}{1}$

• Multiply the Numerators: $91 \times 4 = 364$
• Multiply the Denominators: $63 \times 1 = 63$
• Form the New Fraction: $\frac{91}{63} \times \frac{1}{4} = \frac{364}{63}$

Let's Simplify $\frac{364}{63}$

• Find the Greatest Common Divisor (GCD) of $364$ and $63$. The GCD of $364$ and $63$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{364 \div 7}{63 \div 7} = \frac{52}{9}$

Answer $\frac{91}{63}\div\frac{1}{4} = \frac{52}{9}$

The following animation demonstrates the divide-by,