What is 57/70 Divided By 9/8

Solving $\frac{57}{70}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{70} \div \frac{9}{8} = \frac{57}{70} \times \frac{8}{9}$

• Multiply the Numerators: $57 \times 8 = 456$
• Multiply the Denominators: $70 \times 9 = 630$
• Form the New Fraction: $\frac{57}{70} \times \frac{9}{8} = \frac{456}{630}$

Let's Simplify $\frac{456}{630}$

• Find the Greatest Common Divisor (GCD) of $456$ and $630$. The GCD of $456$ and $630$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{456 \div 6}{630 \div 6} = \frac{76}{105}$

Answer $\frac{57}{70}\div\frac{9}{8} = \frac{76}{105}$

The following animation demonstrates the divide-by,