What is 42/75 Divided By 1/5

Solving $\frac{42}{75}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{75} \div \frac{1}{5} = \frac{42}{75} \times \frac{5}{1}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{42}{75} \times \frac{1}{5} = \frac{210}{75}$

Let's Simplify $\frac{210}{75}$

• Find the Greatest Common Divisor (GCD) of $210$ and $75$. The GCD of $210$ and $75$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 15}{75 \div 15} = \frac{14}{5}$

Answer $\frac{42}{75}\div\frac{1}{5} = \frac{14}{5}$

The following animation demonstrates the divide-by,