What is 70/42 Divided By 1/5

Solving $\frac{70}{42}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{42} \div \frac{1}{5} = \frac{70}{42} \times \frac{5}{1}$

• Multiply the Numerators: $70 \times 5 = 350$
• Multiply the Denominators: $42 \times 1 = 42$
• Form the New Fraction: $\frac{70}{42} \times \frac{1}{5} = \frac{350}{42}$

Let's Simplify $\frac{350}{42}$

• Find the Greatest Common Divisor (GCD) of $350$ and $42$. The GCD of $350$ and $42$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{350 \div 14}{42 \div 14} = \frac{25}{3}$

Answer $\frac{70}{42}\div\frac{1}{5} = \frac{25}{3}$

The following animation demonstrates the divide-by,