What is 35/70 Divided By 8/9

Solving $\frac{35}{70}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{70} \div \frac{8}{9} = \frac{35}{70} \times \frac{9}{8}$

• Multiply the Numerators: $35 \times 9 = 315$
• Multiply the Denominators: $70 \times 8 = 560$
• Form the New Fraction: $\frac{35}{70} \times \frac{8}{9} = \frac{315}{560}$

Let's Simplify $\frac{315}{560}$

• Find the Greatest Common Divisor (GCD) of $315$ and $560$. The GCD of $315$ and $560$ is $35$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 35}{560 \div 35} = \frac{9}{16}$

Answer $\frac{35}{70}\div\frac{8}{9} = \frac{9}{16}$

The following animation demonstrates the divide-by,