What is 75/24 Divided By 5/2

Solving $\frac{75}{24}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{24} \div \frac{5}{2} = \frac{75}{24} \times \frac{2}{5}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $24 \times 5 = 120$
• Form the New Fraction: $\frac{75}{24} \times \frac{5}{2} = \frac{150}{120}$

Let's Simplify $\frac{150}{120}$

• Find the Greatest Common Divisor (GCD) of $150$ and $120$. The GCD of $150$ and $120$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 30}{120 \div 30} = \frac{5}{4}$

Answer $\frac{75}{24}\div\frac{5}{2} = \frac{5}{4}$

The following animation demonstrates the divide-by,