What is 75/72 Divided By 4/6

Solving $\frac{75}{72}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{72} \div \frac{4}{6} = \frac{75}{72} \times \frac{6}{4}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $72 \times 4 = 288$
• Form the New Fraction: $\frac{75}{72} \times \frac{4}{6} = \frac{450}{288}$

Let's Simplify $\frac{450}{288}$

• Find the Greatest Common Divisor (GCD) of $450$ and $288$. The GCD of $450$ and $288$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 18}{288 \div 18} = \frac{25}{16}$

Answer $\frac{75}{72}\div\frac{4}{6} = \frac{25}{16}$

The following animation demonstrates the divide-by,