What is 45/54 Divided By 5/3

Solving $\frac{45}{54}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{54} \div \frac{5}{3} = \frac{45}{54} \times \frac{3}{5}$

• Multiply the Numerators: $45 \times 3 = 135$
• Multiply the Denominators: $54 \times 5 = 270$
• Form the New Fraction: $\frac{45}{54} \times \frac{5}{3} = \frac{135}{270}$

Let's Simplify $\frac{135}{270}$

• Find the Greatest Common Divisor (GCD) of $135$ and $270$. The GCD of $135$ and $270$ is $135$.
• Divide both the numerator and the denominator by the GCD:$\frac{135 \div 135}{270 \div 135} = \frac{1}{2}$

Answer $\frac{45}{54}\div\frac{5}{3} = \frac{1}{2}$

The following animation demonstrates the divide-by,