One-half of a number plus three-fourths of the number is 2 more than four-thirds of the number. find the number .

Answer 1

(1/2)x+(3/4)x=(4/3)x+2

solve for x

(5/4)x=(4/3)x+2

-(1/12)x=2

x= 2 * -12

x=-24

the number is -24

Answer 2

Let n = the number

Express each phrase into mathematical expression:
one-half of the number is (1/2)n
three-fourths of the number is (3/4)n
2 more than four-thirds of the number is (4/3)n + 2

Therefore,
(1/2)n + (3/4)n = (4/3)n + 2

Solving, determine first the least common multiple of the denominators of all fractions in the equation. Then we can multiply it to both sides of equation to remove the fractions. The LCM of 2, 4 and 3 is 12, thus,

12 * [(1/2)n + (3/4)n] = 12 * [(4/3)n + 2]
6n + 9n = 16n + 24

Combine all terms with variable n:
15n = 16n = 24
15n - 16n = 24
-n = 24
n = -24

Hope this helps~ `u`

Answer 3

None of this helps

Answer 4

Whath a answer 8/9 plus 3/4

Answer 5

It’s 4/6 or B

Answer 6

two plus two is four

Answer 7

sht my p