What is 33/85 Divided By 9/8

Solving $\frac{33}{85}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{85} \div \frac{9}{8} = \frac{33}{85} \times \frac{8}{9}$

• Multiply the Numerators: $33 \times 8 = 264$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{33}{85} \times \frac{9}{8} = \frac{264}{765}$

Let's Simplify $\frac{264}{765}$

• Find the Greatest Common Divisor (GCD) of $264$ and $765$. The GCD of $264$ and $765$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{264 \div 3}{765 \div 3} = \frac{88}{255}$

Answer $\frac{33}{85}\div\frac{9}{8} = \frac{88}{255}$

The following animation demonstrates the divide-by,