What is 75/24 Divided By 5/9

Solving $\frac{75}{24}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{24} \div \frac{5}{9} = \frac{75}{24} \times \frac{9}{5}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $24 \times 5 = 120$
• Form the New Fraction: $\frac{75}{24} \times \frac{5}{9} = \frac{675}{120}$

Let's Simplify $\frac{675}{120}$

• Find the Greatest Common Divisor (GCD) of $675$ and $120$. The GCD of $675$ and $120$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 15}{120 \div 15} = \frac{45}{8}$

Answer $\frac{75}{24}\div\frac{5}{9} = \frac{45}{8}$

The following animation demonstrates the divide-by,