Question

7/5-6/5+3/2=17/10=1 7/10

Answer 1

Question:

Solution:

Let us denote by x the blank space in the given equation. Then, we get:

`(7)/(5)-x+(3)/(2)=(6)/(5)`

this is equivalent to:

`(7)/(5)+(3)/(2)-x=(6)/(5)`

this is equivalent to:

`(14+15)/(10)-x=(6)/(5)`

that is:

`(29)/(10)-x=(6)/(5)`

solving for x, we obtain:

`(29)/(10)-(6)/(5)=x`

that is:

`x=(29)/(10)-(6)/(5)=(29-12)/(10)=(17)/(10)`

so that, the blank space would be:

`(17)/(10)`

and the complete expression would be:

`(7)/(5)-(17)/(10)+(3)/(2)=(6)/(5)`