What is 35/85 Divided By 9/8

Solving $\frac{35}{85}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{85} \div \frac{9}{8} = \frac{35}{85} \times \frac{8}{9}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{35}{85} \times \frac{9}{8} = \frac{280}{765}$

Let's Simplify $\frac{280}{765}$

• Find the Greatest Common Divisor (GCD) of $280$ and $765$. The GCD of $280$ and $765$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 5}{765 \div 5} = \frac{56}{153}$

Answer $\frac{35}{85}\div\frac{9}{8} = \frac{56}{153}$

The following animation demonstrates the divide-by,