What is 54/63 Divided By 5/8

Solving $\frac{54}{63}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{63} \div \frac{5}{8} = \frac{54}{63} \times \frac{8}{5}$

• Multiply the Numerators: $54 \times 8 = 432$
• Multiply the Denominators: $63 \times 5 = 315$
• Form the New Fraction: $\frac{54}{63} \times \frac{5}{8} = \frac{432}{315}$

Let's Simplify $\frac{432}{315}$

• Find the Greatest Common Divisor (GCD) of $432$ and $315$. The GCD of $432$ and $315$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 9}{315 \div 9} = \frac{48}{35}$

Answer $\frac{54}{63}\div\frac{5}{8} = \frac{48}{35}$

The following animation demonstrates the divide-by,