What is 53/70 Divided By 9/8

Solving $\frac{53}{70}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{70} \div \frac{9}{8} = \frac{53}{70} \times \frac{8}{9}$

• Multiply the Numerators: $53 \times 8 = 424$
• Multiply the Denominators: $70 \times 9 = 630$
• Form the New Fraction: $\frac{53}{70} \times \frac{9}{8} = \frac{424}{630}$

Let's Simplify $\frac{424}{630}$

• Find the Greatest Common Divisor (GCD) of $424$ and $630$. The GCD of $424$ and $630$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{424 \div 2}{630 \div 2} = \frac{212}{315}$

Answer $\frac{53}{70}\div\frac{9}{8} = \frac{212}{315}$

The following animation demonstrates the divide-by,