What is 75/48 Divided By 7/8

Solving $\frac{75}{48}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{48} \div \frac{7}{8} = \frac{75}{48} \times \frac{8}{7}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $48 \times 7 = 336$
• Form the New Fraction: $\frac{75}{48} \times \frac{7}{8} = \frac{600}{336}$

Let's Simplify $\frac{600}{336}$

• Find the Greatest Common Divisor (GCD) of $600$ and $336$. The GCD of $600$ and $336$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 24}{336 \div 24} = \frac{25}{14}$

Answer $\frac{75}{48}\div\frac{7}{8} = \frac{25}{14}$

The following animation demonstrates the divide-by,