What is 33/42 Divided By 3/4

Solving $\frac{33}{42}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{42} \div \frac{3}{4} = \frac{33}{42} \times \frac{4}{3}$

• Multiply the Numerators: $33 \times 4 = 132$
• Multiply the Denominators: $42 \times 3 = 126$
• Form the New Fraction: $\frac{33}{42} \times \frac{3}{4} = \frac{132}{126}$

Let's Simplify $\frac{132}{126}$

• Find the Greatest Common Divisor (GCD) of $132$ and $126$. The GCD of $132$ and $126$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{132 \div 6}{126 \div 6} = \frac{22}{21}$

Answer $\frac{33}{42}\div\frac{3}{4} = \frac{22}{21}$

The following animation demonstrates the divide-by,