Answer:
[tex]\frac{5}{8}\times \frac{24}{25}=\frac{3}{5}[/tex]
Step-by-step explanation:
Given : Yen calculates the product [tex]\frac{5}{8}[/tex] times [tex]\frac{24}{25}[/tex]. Before he multiplies, he simplifies all factors.
To find : What does the problem look like after he simplifies the factors?
Solution :
The product [tex]\frac{5}{8}[/tex] times [tex]\frac{24}{25}[/tex]
[tex]=\frac{5}{8}\times \frac{24}{25}[/tex]
Now, We factor the terms
[tex]=\frac{5}{2\times 2\times 2}\times \frac{2\times 2\times 2\times 3}{5\times 5}[/tex]
[tex]=\frac{5\times 2\times 2\times 2\times 3}{2\times 2\times 2\times 5\times 5}[/tex]
[tex]=\frac{3}{5}[/tex]
Therefore, [tex]\frac{5}{8}\times \frac{24}{25}=\frac{3}{5}[/tex]
