What is 70/75 Divided By 1/7

Solving $\frac{70}{75}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{75} \div \frac{1}{7} = \frac{70}{75} \times \frac{7}{1}$

• Multiply the Numerators: $70 \times 7 = 490$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{70}{75} \times \frac{1}{7} = \frac{490}{75}$

Let's Simplify $\frac{490}{75}$

• Find the Greatest Common Divisor (GCD) of $490$ and $75$. The GCD of $490$ and $75$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{490 \div 5}{75 \div 5} = \frac{98}{15}$

Answer $\frac{70}{75}\div\frac{1}{7} = \frac{98}{15}$

The following animation demonstrates the divide-by,