What is 66/88 Divided By 2/7

Solving $\frac{66}{88}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{88} \div \frac{2}{7} = \frac{66}{88} \times \frac{7}{2}$

• Multiply the Numerators: $66 \times 7 = 462$
• Multiply the Denominators: $88 \times 2 = 176$
• Form the New Fraction: $\frac{66}{88} \times \frac{2}{7} = \frac{462}{176}$

Let's Simplify $\frac{462}{176}$

• Find the Greatest Common Divisor (GCD) of $462$ and $176$. The GCD of $462$ and $176$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{462 \div 22}{176 \div 22} = \frac{21}{8}$

Answer $\frac{66}{88}\div\frac{2}{7} = \frac{21}{8}$

The following animation demonstrates the divide-by,