Question

1/3 + 1/4 + 1/6
PLEASE SHOW WORK, thank you

Answer 1

Answer: 9/12 or simplified 3/4

Explanation:

first, make the denominator the same to add them.

1/3 will become 4/12 because common denominator is 12 and to turn 3 into 12 u have to multiply both numbers in the fraction by 4

4/12 + 3/12 + 2/12 = 9/12 but simplified is 3/4

a better way of understanding this is 1/2 + 2/4

the denominator for both should be 4 so to make 1/2 have a denominator of 4, multiply both numbers by 2 to make it 2/4.

1/2 + 2/4 = 2/4 + 2/4 = 4/4 = 1

Answer 2

3/4

Explanation:

1/3 + 1/4 + 1/6

notice that the denominators consists of the numbers 3, 4 and 6 and that the lowest common multiple for all 3 numbers is 12, hence all these fractions can be expressed with a denominator of 12

i.e

1/3 = 4/12

1/4 = 3/12

1/6 = 2/12

hence,

1/3 + 1/4 + 1/6

= 4/12 + 3/12 + 2/12

= (4+3+2) / 12

= 9/12 (simply)

= 3/4