Question

Increase the number 2 by( 5)/(8) of it. Then increased the resulting number by( 5)/(8) of it

Answer 1

`(169)/(32)`

Explanation:

First, calculate 5/8 of 2:

`\implies (5)/(8)\;\textsf{of}\;2=(5)/(8)* 2=(5 * 2)/(8)=(10)/(8)=(5)/(4)`

Therefore, to increase 2 by 5/8 of it, add 5/8 of 2 to 2:

`\implies 2+(5)/(4)=(8)/(4)+(5)/(4)=(8+5)/(4)=(13)/(4)`

To increase the resulting number 13/4 by 5/8 of it, first calculate 5/8 of 13/4:

`\implies (5)/(8)\;\textsf{of}\;(13)/(4)=(5)/(8)* (13)/(4)=(5 * 13)/(8 * 4)=(65)/(32)`

Now add 65/32 to 13/4:

`\implies (65)/(32)+(13)/(4)=(65)/(32)+(104)/(32)=(65+104)/(32)=(169)/(32)`