What is 85/88 Divided By 1/4

Solving $\frac{85}{88}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{88} \div \frac{1}{4} = \frac{85}{88} \times \frac{4}{1}$

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $88 \times 1 = 88$
• Form the New Fraction: $\frac{85}{88} \times \frac{1}{4} = \frac{340}{88}$

Let's Simplify $\frac{340}{88}$

• Find the Greatest Common Divisor (GCD) of $340$ and $88$. The GCD of $340$ and $88$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{340 \div 4}{88 \div 4} = \frac{85}{22}$

Answer $\frac{85}{88}\div\frac{1}{4} = \frac{85}{22}$

The following animation demonstrates the divide-by,