What is 70/42 Divided By 1/7

Solving $\frac{70}{42}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{42} \div \frac{1}{7} = \frac{70}{42} \times \frac{7}{1}$

• Multiply the Numerators: $70 \times 7 = 490$
• Multiply the Denominators: $42 \times 1 = 42$
• Form the New Fraction: $\frac{70}{42} \times \frac{1}{7} = \frac{490}{42}$

Let's Simplify $\frac{490}{42}$

• Find the Greatest Common Divisor (GCD) of $490$ and $42$. The GCD of $490$ and $42$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{490 \div 14}{42 \div 14} = \frac{35}{3}$

Answer $\frac{70}{42}\div\frac{1}{7} = \frac{35}{3}$

The following animation demonstrates the divide-by,