Question

multiply write the answer in simplest form
\\(\frac{24}{45} \cdot \frac{27}{80}\\)
\\(\frac{24}{45} \cdot \frac{27}{80} = \square\\) (type an integer or a simplified fraction.)

Explanation:

Step1: Multiply numerators and denominators

Multiply the numerators \(24\times27\) and denominators \(45\times80\).
\(\frac{24\times27}{45\times80}=\frac{648}{3600}\)

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 648 and 3600. The GCD of 648 and 3600 is 72. Divide both numerator and denominator by 72.
\(\frac{648\div72}{3600\div72}=\frac{9}{50}\)

Answer:

\(\frac{9}{50}\)