What is 63/75 Divided By 7/8

Solving $\frac{63}{75}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{63}{75} \div \frac{7}{8} = \frac{63}{75} \times \frac{8}{7}$

• Multiply the Numerators: $63 \times 8 = 504$
• Multiply the Denominators: $75 \times 7 = 525$
• Form the New Fraction: $\frac{63}{75} \times \frac{7}{8} = \frac{504}{525}$

Let's Simplify $\frac{504}{525}$

• Find the Greatest Common Divisor (GCD) of $504$ and $525$. The GCD of $504$ and $525$ is $21$.
• Divide both the numerator and the denominator by the GCD:$\frac{504 \div 21}{525 \div 21} = \frac{24}{25}$

Answer $\frac{63}{75}\div\frac{7}{8} = \frac{24}{25}$

The following animation demonstrates the divide-by,