What is 42/75 Divided By 3/5

Solving $\frac{42}{75}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{75} \div \frac{3}{5} = \frac{42}{75} \times \frac{5}{3}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $75 \times 3 = 225$
• Form the New Fraction: $\frac{42}{75} \times \frac{3}{5} = \frac{210}{225}$

Let's Simplify $\frac{210}{225}$

• Find the Greatest Common Divisor (GCD) of $210$ and $225$. The GCD of $210$ and $225$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 15}{225 \div 15} = \frac{14}{15}$

Answer $\frac{42}{75}\div\frac{3}{5} = \frac{14}{15}$

The following animation demonstrates the divide-by,