What is 27/45 Divided By 5/8

Solving $\frac{27}{45}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{45} \div \frac{5}{8} = \frac{27}{45} \times \frac{8}{5}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $45 \times 5 = 225$
• Form the New Fraction: $\frac{27}{45} \times \frac{5}{8} = \frac{216}{225}$

Let's Simplify $\frac{216}{225}$

• Find the Greatest Common Divisor (GCD) of $216$ and $225$. The GCD of $216$ and $225$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 9}{225 \div 9} = \frac{24}{25}$

Answer $\frac{27}{45}\div\frac{5}{8} = \frac{24}{25}$

The following animation demonstrates the divide-by,