What is 70/99 Divided By 8/3

Solving $\frac{70}{99}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{99} \div \frac{8}{3} = \frac{70}{99} \times \frac{3}{8}$

• Multiply the Numerators: $70 \times 3 = 210$
• Multiply the Denominators: $99 \times 8 = 792$
• Form the New Fraction: $\frac{70}{99} \times \frac{8}{3} = \frac{210}{792}$

Let's Simplify $\frac{210}{792}$

• Find the Greatest Common Divisor (GCD) of $210$ and $792$. The GCD of $210$ and $792$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 6}{792 \div 6} = \frac{35}{132}$

Answer $\frac{70}{99}\div\frac{8}{3} = \frac{35}{132}$

The following animation demonstrates the divide-by,