Can You Add The Fractions 2/3, 3/8, 5/12 And Reduce Your Answer To Lowest Terms?

A way to work this is to
 - find the least common multiple (LCM) of the denominators
 - express each fraction using that LCM as the denominator
 - add the numerators
 - reduce, by dividing numerator and denominator by their greatest common divisor (GCD).

Denominators: 3, 8, 12. One way to find the LCM is to look at the prime factors.
 3=3
 8=2*2*2
 12=2*2*3, so the least common multiple is 2*2*2*3 = 24.

2/3 = ?/24
(2/3)*24 = ? = 2*24/3 = 2*8 = 16, so our first fraction is 16/24

3/8 = ?/24
(3/8)*24 = ? = 3*24/8 = 3*3 = 9, so our second fraction is 9/24

5/12 = ?/24
(5/12)*24 = ? = 5*24/12 = 5*2 = 10, so our last fraction is 10/24

16/24 + 9/24 + 10/24 = (16+9+10)/24 = 35/24
 35=5*7; 24=2*2*2*3. They share no common factors except 1, so this is the "lowest terms."
Expressed as a mixed fraction, 35/24 = 1 11/24.
______
Changing the denominator of a fraction can be considered as multiplication by 1.
2/3 = (2/3)*1 = (2/3)*(24/24)
 = (2*24)/(3*24) = (2*3*8)/(3*24) = ((2*8)/(24))*(3/3)
 = (16/24)*1 = 16/24
Note the fraction at the end is still equal to the fraction at the beginning. It is just expressed using a different denominator.

2/3

12

6/23

1x5=5;2x6=12;3x4=12

11/24

1/2

5/12=1/2

Add the fractions 2/3, 2/5, 3/8 and reduce to the lowest terms

Subtract the fraction 7 4/5 from the fraction 18 6/15 and reduce your answer to lowest terms.

2/3 + 3/8 + 5/12
= 16/24 + 9/24 + 10/24
= (16 + 9 + 10)/24
= 35/24
= 1 11/24

The same as it was here.