What is 33/70 Divided By 9/7

Solving $\frac{33}{70}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{70} \div \frac{9}{7} = \frac{33}{70} \times \frac{7}{9}$

• Multiply the Numerators: $33 \times 7 = 231$
• Multiply the Denominators: $70 \times 9 = 630$
• Form the New Fraction: $\frac{33}{70} \times \frac{9}{7} = \frac{231}{630}$

Let's Simplify $\frac{231}{630}$

• Find the Greatest Common Divisor (GCD) of $231$ and $630$. The GCD of $231$ and $630$ is $21$.
• Divide both the numerator and the denominator by the GCD:$\frac{231 \div 21}{630 \div 21} = \frac{11}{30}$

Answer $\frac{33}{70}\div\frac{9}{7} = \frac{11}{30}$

The following animation demonstrates the divide-by,