What is 42/75 Divided By 2/3

Solving $\frac{42}{75}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{75} \div \frac{2}{3} = \frac{42}{75} \times \frac{3}{2}$

• Multiply the Numerators: $42 \times 3 = 126$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{42}{75} \times \frac{2}{3} = \frac{126}{150}$

Let's Simplify $\frac{126}{150}$

• Find the Greatest Common Divisor (GCD) of $126$ and $150$. The GCD of $126$ and $150$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 6}{150 \div 6} = \frac{21}{25}$

Answer $\frac{42}{75}\div\frac{2}{3} = \frac{21}{25}$

The following animation demonstrates the divide-by,