Question

Add the following fractions. 3/8 + 5/12 = a 8/20 b 19/24 c 8/24 d 1/3

Answer 1

3/8 + 5/12 = 

B. 19/24

Answer 2

We can calculate the mmc between 8 and 12

8, 12 | 2

4 , 6 | 2

2 , 3 | 2

1 , 3 | 3

1, 1 | 1

mmc = 2 × 2× 2×3

mmc = 24

24 ÷ 8 = 3

And

24 ÷ 12 = 2

3/8 + 5/12 = ( 3× 3+ 5×2)/24

= (9 + 10)/24

= 19 / 24

Answer = 19/24

Another way of calculating would be to multiply the denominator and multiply the extremes.


3/8 + 5/12 = ( 3 × 12 + 8×5)/8×12

= ( 36 + 40)/96

= 76/96

Division by 2

= 38 / 48

Division by 2

= 19 / 24

I hope this has helped.