What is 35/95 Divided By 9/4

Solving $\frac{35}{95}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{95} \div \frac{9}{4} = \frac{35}{95} \times \frac{4}{9}$

• Multiply the Numerators: $35 \times 4 = 140$
• Multiply the Denominators: $95 \times 9 = 855$
• Form the New Fraction: $\frac{35}{95} \times \frac{9}{4} = \frac{140}{855}$

Let's Simplify $\frac{140}{855}$

• Find the Greatest Common Divisor (GCD) of $140$ and $855$. The GCD of $140$ and $855$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 5}{855 \div 5} = \frac{28}{171}$

Answer $\frac{35}{95}\div\frac{9}{4} = \frac{28}{171}$

The following animation demonstrates the divide-by,