What is 22/33 Divided By 5/8

Solving $\frac{22}{33}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{33} \div \frac{5}{8} = \frac{22}{33} \times \frac{8}{5}$

• Multiply the Numerators: $22 \times 8 = 176$
• Multiply the Denominators: $33 \times 5 = 165$
• Form the New Fraction: $\frac{22}{33} \times \frac{5}{8} = \frac{176}{165}$

Let's Simplify $\frac{176}{165}$

• Find the Greatest Common Divisor (GCD) of $176$ and $165$. The GCD of $176$ and $165$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{176 \div 11}{165 \div 11} = \frac{16}{15}$

Answer $\frac{22}{33}\div\frac{5}{8} = \frac{16}{15}$

The following animation demonstrates the divide-by,