Respuesta :

Answer:

29/36

Step-by-step explanation:

Let n = some number

5n - 7/12 = 4n + 2/9

Subtract 4n from each side

5n-4n  - 7/12 = 4n-4n +2/9

n - 7/12 = 2/9

Add 7/12 to each  side

n -7/12 +7/12 = 2/9+7/12

n = 2/9 +7/12

We need to get a common denominator of 36

2/9 * 4/4 = 8/36

7/12 * 3/3 = 21/36

2/9+ 7/12

8/36+21/36

29/36

Answer:

y = 29/36

Step-by-step explanation:

let the number be y

5×y - 7/12 =4×y + 2/9

5y - 7/12 = 4y + 2/9

combine the like terms

5y - 4y = 2/9 + 7/12

y = 2/9 + 7/12

find the LCM of 9 and 12

which is 108

make 2/9 and 7/12 a single fraction

y = 24 + 63

         108  

y = 87/108

y = 29/36

I divided by 3

Hope it helps.