What is 35/85 Divided By 4/8

Solving $\frac{35}{85}\div\frac{4}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{85} \div \frac{4}{8} = \frac{35}{85} \times \frac{8}{4}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{35}{85} \times \frac{4}{8} = \frac{280}{340}$

Let's Simplify $\frac{280}{340}$

• Find the Greatest Common Divisor (GCD) of $280$ and $340$. The GCD of $280$ and $340$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 20}{340 \div 20} = \frac{14}{17}$

Answer $\frac{35}{85}\div\frac{4}{8} = \frac{14}{17}$

The following animation demonstrates the divide-by,