What is 22/99 Divided By 7/8

Solving $\frac{22}{99}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{99} \div \frac{7}{8} = \frac{22}{99} \times \frac{8}{7}$

• Multiply the Numerators: $22 \times 8 = 176$
• Multiply the Denominators: $99 \times 7 = 693$
• Form the New Fraction: $\frac{22}{99} \times \frac{7}{8} = \frac{176}{693}$

Let's Simplify $\frac{176}{693}$

• Find the Greatest Common Divisor (GCD) of $176$ and $693$. The GCD of $176$ and $693$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{176 \div 11}{693 \div 11} = \frac{16}{63}$

Answer $\frac{22}{99}\div\frac{7}{8} = \frac{16}{63}$

The following animation demonstrates the divide-by,