What is 22/99 Divided By 5/8

Solving $\frac{22}{99}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{99} \div \frac{5}{8} = \frac{22}{99} \times \frac{8}{5}$

• Multiply the Numerators: $22 \times 8 = 176$
• Multiply the Denominators: $99 \times 5 = 495$
• Form the New Fraction: $\frac{22}{99} \times \frac{5}{8} = \frac{176}{495}$

Let's Simplify $\frac{176}{495}$

• Find the Greatest Common Divisor (GCD) of $176$ and $495$. The GCD of $176$ and $495$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{176 \div 11}{495 \div 11} = \frac{16}{45}$

Answer $\frac{22}{99}\div\frac{5}{8} = \frac{16}{45}$

The following animation demonstrates the divide-by,