What is 33/88 Divided By 2/7

Solving $\frac{33}{88}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{88} \div \frac{2}{7} = \frac{33}{88} \times \frac{7}{2}$

• Multiply the Numerators: $33 \times 7 = 231$
• Multiply the Denominators: $88 \times 2 = 176$
• Form the New Fraction: $\frac{33}{88} \times \frac{2}{7} = \frac{231}{176}$

Let's Simplify $\frac{231}{176}$

• Find the Greatest Common Divisor (GCD) of $231$ and $176$. The GCD of $231$ and $176$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{231 \div 11}{176 \div 11} = \frac{21}{16}$

Answer $\frac{33}{88}\div\frac{2}{7} = \frac{21}{16}$

The following animation demonstrates the divide-by,