What is 45/54 Divided By 8/3

Solving $\frac{45}{54}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{54} \div \frac{8}{3} = \frac{45}{54} \times \frac{3}{8}$

• Multiply the Numerators: $45 \times 3 = 135$
• Multiply the Denominators: $54 \times 8 = 432$
• Form the New Fraction: $\frac{45}{54} \times \frac{8}{3} = \frac{135}{432}$

Let's Simplify $\frac{135}{432}$

• Find the Greatest Common Divisor (GCD) of $135$ and $432$. The GCD of $135$ and $432$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{135 \div 27}{432 \div 27} = \frac{5}{16}$

Answer $\frac{45}{54}\div\frac{8}{3} = \frac{5}{16}$

The following animation demonstrates the divide-by,