What is 33/45 Divided By 2/7

Solving $\frac{33}{45}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{45} \div \frac{2}{7} = \frac{33}{45} \times \frac{7}{2}$

• Multiply the Numerators: $33 \times 7 = 231$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{33}{45} \times \frac{2}{7} = \frac{231}{90}$

Let's Simplify $\frac{231}{90}$

• Find the Greatest Common Divisor (GCD) of $231$ and $90$. The GCD of $231$ and $90$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{231 \div 3}{90 \div 3} = \frac{77}{30}$

Answer $\frac{33}{45}\div\frac{2}{7} = \frac{77}{30}$

The following animation demonstrates the divide-by,