What is 42/75 Divided By 2/5

Solving $\frac{42}{75}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{75} \div \frac{2}{5} = \frac{42}{75} \times \frac{5}{2}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{42}{75} \times \frac{2}{5} = \frac{210}{150}$

Let's Simplify $\frac{210}{150}$

• Find the Greatest Common Divisor (GCD) of $210$ and $150$. The GCD of $210$ and $150$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 30}{150 \div 30} = \frac{7}{5}$

Answer $\frac{42}{75}\div\frac{2}{5} = \frac{7}{5}$

The following animation demonstrates the divide-by,