What is 83/22 Divided By 9/8

Solving $\frac{83}{22}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{22} \div \frac{9}{8} = \frac{83}{22} \times \frac{8}{9}$

• Multiply the Numerators: $83 \times 8 = 664$
• Multiply the Denominators: $22 \times 9 = 198$
• Form the New Fraction: $\frac{83}{22} \times \frac{9}{8} = \frac{664}{198}$

Let's Simplify $\frac{664}{198}$

• Find the Greatest Common Divisor (GCD) of $664$ and $198$. The GCD of $664$ and $198$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{664 \div 2}{198 \div 2} = \frac{332}{99}$

Answer $\frac{83}{22}\div\frac{9}{8} = \frac{332}{99}$

The following animation demonstrates the divide-by,