What is 66/88 Divided By 7/6

Solving $\frac{66}{88}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{88} \div \frac{7}{6} = \frac{66}{88} \times \frac{6}{7}$

• Multiply the Numerators: $66 \times 6 = 396$
• Multiply the Denominators: $88 \times 7 = 616$
• Form the New Fraction: $\frac{66}{88} \times \frac{7}{6} = \frac{396}{616}$

Let's Simplify $\frac{396}{616}$

• Find the Greatest Common Divisor (GCD) of $396$ and $616$. The GCD of $396$ and $616$ is $44$.
• Divide both the numerator and the denominator by the GCD:$\frac{396 \div 44}{616 \div 44} = \frac{9}{14}$

Answer $\frac{66}{88}\div\frac{7}{6} = \frac{9}{14}$

The following animation demonstrates the divide-by,