What is 45/42 Divided By 3/2

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,