Question

what should be added to 1/2+1/3+1/5 to get 3

Answer 1

Answer:

below

Step-by-step explanation:

Let x be the number to be added to (1/2 + 1/3 + 1/5) to get 3

Therefore:

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

Since the Lowest Common Factor (LCF) of all the denominators is 30,

1/2 + 1/3 + 1/5 + x = 3 becomes:

(15 + 10 + 6 + 30x)/30 = 3

(31 + 30x)/30 = 3

Multiplying both sides by 30 gives:

31 + 30x = 3*30

31 + 30x = 90

30x = 90 - 31

30x = 59

x = 59/30

Therefore, the number to be added to (1/2 + 1/3 + 1/5) to get 3 = 59/30