What is 75/24 Divided By 5/7

Solving $\frac{75}{24}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{24} \div \frac{5}{7} = \frac{75}{24} \times \frac{7}{5}$

• Multiply the Numerators: $75 \times 7 = 525$
• Multiply the Denominators: $24 \times 5 = 120$
• Form the New Fraction: $\frac{75}{24} \times \frac{5}{7} = \frac{525}{120}$

Let's Simplify $\frac{525}{120}$

• Find the Greatest Common Divisor (GCD) of $525$ and $120$. The GCD of $525$ and $120$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{525 \div 15}{120 \div 15} = \frac{35}{8}$

Answer $\frac{75}{24}\div\frac{5}{7} = \frac{35}{8}$

The following animation demonstrates the divide-by,