What is 42/57 Divided By 2/3

Solving $\frac{42}{57}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{57} \div \frac{2}{3} = \frac{42}{57} \times \frac{3}{2}$

• Multiply the Numerators: $42 \times 3 = 126$
• Multiply the Denominators: $57 \times 2 = 114$
• Form the New Fraction: $\frac{42}{57} \times \frac{2}{3} = \frac{126}{114}$

Let's Simplify $\frac{126}{114}$

• Find the Greatest Common Divisor (GCD) of $126$ and $114$. The GCD of $126$ and $114$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 6}{114 \div 6} = \frac{21}{19}$

Answer $\frac{42}{57}\div\frac{2}{3} = \frac{21}{19}$

The following animation demonstrates the divide-by,