What is 45/27 Divided By 2/3

Solving $\frac{45}{27}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{27} \div \frac{2}{3} = \frac{45}{27} \times \frac{3}{2}$

• Multiply the Numerators: $45 \times 3 = 135$
• Multiply the Denominators: $27 \times 2 = 54$
• Form the New Fraction: $\frac{45}{27} \times \frac{2}{3} = \frac{135}{54}$

Let's Simplify $\frac{135}{54}$

• Find the Greatest Common Divisor (GCD) of $135$ and $54$. The GCD of $135$ and $54$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{135 \div 27}{54 \div 27} = \frac{5}{2}$

Answer $\frac{45}{27}\div\frac{2}{3} = \frac{5}{2}$

The following animation demonstrates the divide-by,