Question

Yen calculates the product 5/8 times 24/25. Before he multiplies, he simplifies all factors. What does the problem look like after he simplifies the facotrs?

Answer 1

`(5)/(8)* (24)/(25)=(3)/(5)`

Explanation:

Given : Yen calculates the product
`(5)/(8)` times
`(24)/(25)`. Before he multiplies, he simplifies all factors.

To find : What does the problem look like after he simplifies the factors?

Solution :

The product
`(5)/(8)` times
`(24)/(25)`

`=(5)/(8)* (24)/(25)`

Now, We factor the terms

`=(5)/(2* 2* 2)* (2* 2* 2* 3)/(5* 5)`

`=(5* 2* 2* 2* 3)/(2* 2* 2* 5* 5)`

`=(3)/(5)`

Therefore,
`(5)/(8)* (24)/(25)=(3)/(5)`