What is 24/75 Divided By 7/5

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,