What is 62/70 Divided By 9/7

Solving $\frac{62}{70}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{62}{70} \div \frac{9}{7} = \frac{62}{70} \times \frac{7}{9}$

• Multiply the Numerators: $62 \times 7 = 434$
• Multiply the Denominators: $70 \times 9 = 630$
• Form the New Fraction: $\frac{62}{70} \times \frac{9}{7} = \frac{434}{630}$

Let's Simplify $\frac{434}{630}$

• Find the Greatest Common Divisor (GCD) of $434$ and $630$. The GCD of $434$ and $630$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{434 \div 14}{630 \div 14} = \frac{31}{45}$

Answer $\frac{62}{70}\div\frac{9}{7} = \frac{31}{45}$

The following animation demonstrates the divide-by,