What is 46/99 Divided By 8/3

Solving $\frac{46}{99}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{99} \div \frac{8}{3} = \frac{46}{99} \times \frac{3}{8}$

• Multiply the Numerators: $46 \times 3 = 138$
• Multiply the Denominators: $99 \times 8 = 792$
• Form the New Fraction: $\frac{46}{99} \times \frac{8}{3} = \frac{138}{792}$

Let's Simplify $\frac{138}{792}$

• Find the Greatest Common Divisor (GCD) of $138$ and $792$. The GCD of $138$ and $792$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{138 \div 6}{792 \div 6} = \frac{23}{132}$

Answer $\frac{46}{99}\div\frac{8}{3} = \frac{23}{132}$

The following animation demonstrates the divide-by,