What is 60/63 Divided By 8/9

Solving $\frac{60}{63}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{63} \div \frac{8}{9} = \frac{60}{63} \times \frac{9}{8}$

• Multiply the Numerators: $60 \times 9 = 540$
• Multiply the Denominators: $63 \times 8 = 504$
• Form the New Fraction: $\frac{60}{63} \times \frac{8}{9} = \frac{540}{504}$

Let's Simplify $\frac{540}{504}$

• Find the Greatest Common Divisor (GCD) of $540$ and $504$. The GCD of $540$ and $504$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{540 \div 36}{504 \div 36} = \frac{15}{14}$

Answer $\frac{60}{63}\div\frac{8}{9} = \frac{15}{14}$

The following animation demonstrates the divide-by,