What is 42/45 Divided By 2/3

Solving $\frac{42}{45}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{45} \div \frac{2}{3} = \frac{42}{45} \times \frac{3}{2}$

• Multiply the Numerators: $42 \times 3 = 126$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{42}{45} \times \frac{2}{3} = \frac{126}{90}$

Let's Simplify $\frac{126}{90}$

• Find the Greatest Common Divisor (GCD) of $126$ and $90$. The GCD of $126$ and $90$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 18}{90 \div 18} = \frac{7}{5}$

Answer $\frac{42}{45}\div\frac{2}{3} = \frac{7}{5}$

The following animation demonstrates the divide-by,