What is 35/95 Divided By 3/8

Solving $\frac{35}{95}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{95} \div \frac{3}{8} = \frac{35}{95} \times \frac{8}{3}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $95 \times 3 = 285$
• Form the New Fraction: $\frac{35}{95} \times \frac{3}{8} = \frac{280}{285}$

Let's Simplify $\frac{280}{285}$

• Find the Greatest Common Divisor (GCD) of $280$ and $285$. The GCD of $280$ and $285$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 5}{285 \div 5} = \frac{56}{57}$

Answer $\frac{35}{95}\div\frac{3}{8} = \frac{56}{57}$

The following animation demonstrates the divide-by,