What is 35/70 Divided By 1/8

Solving $\frac{35}{70}\div\frac{1}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{70} \div \frac{1}{8} = \frac{35}{70} \times \frac{8}{1}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $70 \times 1 = 70$
• Form the New Fraction: $\frac{35}{70} \times \frac{1}{8} = \frac{280}{70}$

Let's Simplify $\frac{280}{70}$

• Find the Greatest Common Divisor (GCD) of $280$ and $70$. The GCD of $280$ and $70$ is $70$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 70}{70 \div 70} = \frac{4}{1}$

Answer $\frac{35}{70}\div\frac{1}{8} = \frac{4}{1}$

The following animation demonstrates the divide-by,