What is 75/53 Divided By 9/6

Solving $\frac{75}{53}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{53} \div \frac{9}{6} = \frac{75}{53} \times \frac{6}{9}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $53 \times 9 = 477$
• Form the New Fraction: $\frac{75}{53} \times \frac{9}{6} = \frac{450}{477}$

Let's Simplify $\frac{450}{477}$

• Find the Greatest Common Divisor (GCD) of $450$ and $477$. The GCD of $450$ and $477$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 9}{477 \div 9} = \frac{50}{53}$

Answer $\frac{75}{53}\div\frac{9}{6} = \frac{50}{53}$

The following animation demonstrates the divide-by,