What is 27/45 Divided By 9/8

Solving $\frac{27}{45}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{45} \div \frac{9}{8} = \frac{27}{45} \times \frac{8}{9}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $45 \times 9 = 405$
• Form the New Fraction: $\frac{27}{45} \times \frac{9}{8} = \frac{216}{405}$

Let's Simplify $\frac{216}{405}$

• Find the Greatest Common Divisor (GCD) of $216$ and $405$. The GCD of $216$ and $405$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 27}{405 \div 27} = \frac{8}{15}$

Answer $\frac{27}{45}\div\frac{9}{8} = \frac{8}{15}$

The following animation demonstrates the divide-by,