What is 22/33 Divided By 7/8

Solving $\frac{22}{33}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{33} \div \frac{7}{8} = \frac{22}{33} \times \frac{8}{7}$

• Multiply the Numerators: $22 \times 8 = 176$
• Multiply the Denominators: $33 \times 7 = 231$
• Form the New Fraction: $\frac{22}{33} \times \frac{7}{8} = \frac{176}{231}$

Let's Simplify $\frac{176}{231}$

• Find the Greatest Common Divisor (GCD) of $176$ and $231$. The GCD of $176$ and $231$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{176 \div 11}{231 \div 11} = \frac{16}{21}$

Answer $\frac{22}{33}\div\frac{7}{8} = \frac{16}{21}$

The following animation demonstrates the divide-by,