What is 33/88 Divided By 8/6

Solving $\frac{33}{88}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{88} \div \frac{8}{6} = \frac{33}{88} \times \frac{6}{8}$

• Multiply the Numerators: $33 \times 6 = 198$
• Multiply the Denominators: $88 \times 8 = 704$
• Form the New Fraction: $\frac{33}{88} \times \frac{8}{6} = \frac{198}{704}$

Let's Simplify $\frac{198}{704}$

• Find the Greatest Common Divisor (GCD) of $198$ and $704$. The GCD of $198$ and $704$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{198 \div 22}{704 \div 22} = \frac{9}{32}$

Answer $\frac{33}{88}\div\frac{8}{6} = \frac{9}{32}$

The following animation demonstrates the divide-by,