What is 93/99 Divided By 5/8

Solving $\frac{93}{99}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{93}{99} \div \frac{5}{8} = \frac{93}{99} \times \frac{8}{5}$

• Multiply the Numerators: $93 \times 8 = 744$
• Multiply the Denominators: $99 \times 5 = 495$
• Form the New Fraction: $\frac{93}{99} \times \frac{5}{8} = \frac{744}{495}$

Let's Simplify $\frac{744}{495}$

• Find the Greatest Common Divisor (GCD) of $744$ and $495$. The GCD of $744$ and $495$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{744 \div 3}{495 \div 3} = \frac{248}{165}$

Answer $\frac{93}{99}\div\frac{5}{8} = \frac{248}{165}$

The following animation demonstrates the divide-by,