Question

Express the following as a fraction in its simplest form.

1. h+f/3 - f+k/2 + 4h-k/5
plz answer this question.....

Answer 1

Given:

Consider the given expression is:

`(h+f)/(3)+(f+k)/(2)+(4h-k)/(5)`

To find:

The simplified form of the given expression.

Solution:

We have,

`(h+f)/(3)+(f+k)/(2)+(4h-k)/(5)`

Taking LCM, we get

`=(10(h+f)+15(f+k)+6(4h-k))/(30)`

`=(10h+10f+15f+15k+24h-6k)/(30)`

`=(34h+25f+9k)/(30)`

Therefore, the required simplified fraction for the given expression is
`(34h+25f+9k)/(30)`.