What is 33/42 Divided By 5/8

Solving $\frac{33}{42}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{42} \div \frac{5}{8} = \frac{33}{42} \times \frac{8}{5}$

• Multiply the Numerators: $33 \times 8 = 264$
• Multiply the Denominators: $42 \times 5 = 210$
• Form the New Fraction: $\frac{33}{42} \times \frac{5}{8} = \frac{264}{210}$

Let's Simplify $\frac{264}{210}$

• Find the Greatest Common Divisor (GCD) of $264$ and $210$. The GCD of $264$ and $210$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{264 \div 6}{210 \div 6} = \frac{44}{35}$

Answer $\frac{33}{42}\div\frac{5}{8} = \frac{44}{35}$

The following animation demonstrates the divide-by,