What is 70/85 Divided By 8/4

Solving $\frac{70}{85}\div\frac{8}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{85} \div \frac{8}{4} = \frac{70}{85} \times \frac{4}{8}$

• Multiply the Numerators: $70 \times 4 = 280$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{70}{85} \times \frac{8}{4} = \frac{280}{680}$

Let's Simplify $\frac{280}{680}$

• Find the Greatest Common Divisor (GCD) of $280$ and $680$. The GCD of $280$ and $680$ is $40$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 40}{680 \div 40} = \frac{7}{17}$

Answer $\frac{70}{85}\div\frac{8}{4} = \frac{7}{17}$

The following animation demonstrates the divide-by,