What is 35/88 Divided By 7/9

Solving $\frac{35}{88}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{88} \div \frac{7}{9} = \frac{35}{88} \times \frac{9}{7}$

• Multiply the Numerators: $35 \times 9 = 315$
• Multiply the Denominators: $88 \times 7 = 616$
• Form the New Fraction: $\frac{35}{88} \times \frac{7}{9} = \frac{315}{616}$

Let's Simplify $\frac{315}{616}$

• Find the Greatest Common Divisor (GCD) of $315$ and $616$. The GCD of $315$ and $616$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 7}{616 \div 7} = \frac{45}{88}$

Answer $\frac{35}{88}\div\frac{7}{9} = \frac{45}{88}$

The following animation demonstrates the divide-by,