What is 33/88 Divided By 7/4

Solving $\frac{33}{88}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{88} \div \frac{7}{4} = \frac{33}{88} \times \frac{4}{7}$

• Multiply the Numerators: $33 \times 4 = 132$
• Multiply the Denominators: $88 \times 7 = 616$
• Form the New Fraction: $\frac{33}{88} \times \frac{7}{4} = \frac{132}{616}$

Let's Simplify $\frac{132}{616}$

• Find the Greatest Common Divisor (GCD) of $132$ and $616$. The GCD of $132$ and $616$ is $44$.
• Divide both the numerator and the denominator by the GCD:$\frac{132 \div 44}{616 \div 44} = \frac{3}{14}$

Answer $\frac{33}{88}\div\frac{7}{4} = \frac{3}{14}$

The following animation demonstrates the divide-by,