What is 57/70 Divided By 1/7

Solving $\frac{57}{70}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{70} \div \frac{1}{7} = \frac{57}{70} \times \frac{7}{1}$

• Multiply the Numerators: $57 \times 7 = 399$
• Multiply the Denominators: $70 \times 1 = 70$
• Form the New Fraction: $\frac{57}{70} \times \frac{1}{7} = \frac{399}{70}$

Let's Simplify $\frac{399}{70}$

• Find the Greatest Common Divisor (GCD) of $399$ and $70$. The GCD of $399$ and $70$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{399 \div 7}{70 \div 7} = \frac{57}{10}$

Answer $\frac{57}{70}\div\frac{1}{7} = \frac{57}{10}$

The following animation demonstrates the divide-by,