What is 99/88 Divided By 1/4

Solving $\frac{99}{88}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{88} \div \frac{1}{4} = \frac{99}{88} \times \frac{4}{1}$

• Multiply the Numerators: $99 \times 4 = 396$
• Multiply the Denominators: $88 \times 1 = 88$
• Form the New Fraction: $\frac{99}{88} \times \frac{1}{4} = \frac{396}{88}$

Let's Simplify $\frac{396}{88}$

• Find the Greatest Common Divisor (GCD) of $396$ and $88$. The GCD of $396$ and $88$ is $44$.
• Divide both the numerator and the denominator by the GCD:$\frac{396 \div 44}{88 \div 44} = \frac{9}{2}$

Answer $\frac{99}{88}\div\frac{1}{4} = \frac{9}{2}$

The following animation demonstrates the divide-by,