What is 45/75 Divided By 1/7

Solving $\frac{45}{75}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{75} \div \frac{1}{7} = \frac{45}{75} \times \frac{7}{1}$

• Multiply the Numerators: $45 \times 7 = 315$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{45}{75} \times \frac{1}{7} = \frac{315}{75}$

Let's Simplify $\frac{315}{75}$

• Find the Greatest Common Divisor (GCD) of $315$ and $75$. The GCD of $315$ and $75$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 15}{75 \div 15} = \frac{21}{5}$

Answer $\frac{45}{75}\div\frac{1}{7} = \frac{21}{5}$

The following animation demonstrates the divide-by,