What is 88/99 Divided By 6/7

Solving $\frac{88}{99}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{99} \div \frac{6}{7} = \frac{88}{99} \times \frac{7}{6}$

• Multiply the Numerators: $88 \times 7 = 616$
• Multiply the Denominators: $99 \times 6 = 594$
• Form the New Fraction: $\frac{88}{99} \times \frac{6}{7} = \frac{616}{594}$

Let's Simplify $\frac{616}{594}$

• Find the Greatest Common Divisor (GCD) of $616$ and $594$. The GCD of $616$ and $594$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{616 \div 22}{594 \div 22} = \frac{28}{27}$

Answer $\frac{88}{99}\div\frac{6}{7} = \frac{28}{27}$

The following animation demonstrates the divide-by,