What is 45/54 Divided By 5/8

Solving $\frac{45}{54}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{54} \div \frac{5}{8} = \frac{45}{54} \times \frac{8}{5}$

• Multiply the Numerators: $45 \times 8 = 360$
• Multiply the Denominators: $54 \times 5 = 270$
• Form the New Fraction: $\frac{45}{54} \times \frac{5}{8} = \frac{360}{270}$

Let's Simplify $\frac{360}{270}$

• Find the Greatest Common Divisor (GCD) of $360$ and $270$. The GCD of $360$ and $270$ is $90$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 90}{270 \div 90} = \frac{4}{3}$

Answer $\frac{45}{54}\div\frac{5}{8} = \frac{4}{3}$

The following animation demonstrates the divide-by,