What is 75/88 Divided By 7/2

Solving $\frac{75}{88}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{88} \div \frac{7}{2} = \frac{75}{88} \times \frac{2}{7}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $88 \times 7 = 616$
• Form the New Fraction: $\frac{75}{88} \times \frac{7}{2} = \frac{150}{616}$

Let's Simplify $\frac{150}{616}$

• Find the Greatest Common Divisor (GCD) of $150$ and $616$. The GCD of $150$ and $616$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 2}{616 \div 2} = \frac{75}{308}$

Answer $\frac{75}{88}\div\frac{7}{2} = \frac{75}{308}$

The following animation demonstrates the divide-by,