Question

CAN U HELP. It is just simplifying it will only take you 1-2 minutes. <3

Answer 1

If we simplify the given expression, we get
`(5x+42)/(12)`.

Explanation:

Step 1; First we need to multiply the integers with the fractions and make the entire expression consist of only fractions.

2 ×
`(1)/(8)`x =
`(x)/(4)`,
`(3x)/(4)` remains the same,
`(1)/(6)` remains unchanged,
`(7x)/(12)` remains the same but 5 ×
`(2)/(3)` =
`(10)/(3)`. So the expression becomes

`(x)/(4)` +
`(3x)/(4)` +
`(1)/(6)` -
`(7x)/(12)` +
`(10)/(3)`.

Step 2; We calculate the LCM of the denominators and multiply the numerator with the number that must be multiplied with the denominator to equal the LCM. The LCM of 3, 4, 6 and 12 is 12. So the expression becomes

(
`(x)/(4)` ×
`(3)/(3)`) + (
`(3x)/(4)` ×
`(3)/(3)`) + (
`(1)/(6)` ×
`(2)/(2)`) - (
`(7x)/(12)` ×
`(1)/(1)`) + (
`(10)/(3)` ×
`(4)/(4)`) =
`(3x+9x+2-7x+40)/(12)` =
`(5x+42)/(12)`.