Question

Help me! Sorry for the other question.... let’s try it again! 1/2 x + 3/5 x = 5/4

Answer 1

x = 1 3/22

Explanation:

1/2 x + 3/5 x = 5/4

We need to get rid of the fractions by multiplying by 20 on each side

20 (1/2 x + 3/5 x) = 20 * 5/4

Distribute

10x + 12x = 25

Combine like terms

22x = 25

Divide each side by 22

22x/22 = 25/22

x = 22/22 + 3/22

x = 1 3/22

Answer 2

`x = 1(3)/(22)`

Explanation:

=>
`(1)/(2) x + (3)/(5) x = (5)/(4)`

LCM = 20

So, Multiplying both sides by 20

=>
`20 ((x)/(2) + (3x)/(5)) = 5 * 5`

`10 * x + 4*3x = 25\\10x+12x = 25\\22x = 25`

Dividing both sides by 22

`x = (25)/(22)`

`x = 1(3)/(22)`