Question

What is 4 3/8 - 2 2/3

Answer 1

6/3 + 2/3 = (6 + 2)/3:
4 + 3/8 - (6 + 2)/3

6 + 2 = 8:
4 + 3/8 - 8/3

Put 4 + 3/8 - 8/3 over the common denominator 24. 4 + 3/8 - 8/3 = (24×4)/24 + (3×3)/24 + (8 (-8))/24:
(24×4)/24 + (3×3)/24 + (8 (-8))/24

24×4 = 96:
96/24 + (3×3)/24 + (8 (-8))/24

3×3 = 9:
96/24 + 9/24 + (8 (-8))/24

8 (-8) = -64:
96/24 + 9/24 + (-64)/24

96/24 + 9/24 - 64/24 = (96 + 9 - 64)/24:
(96 + 9 - 64)/24

 | 1 | 
 | 9 | 6
+ | | 9
1 | 0 | 5:
(105 - 64)/24


 | 0 | 10 | 
 | 1 | 0 | 5
- | | 6 | 4

 | 0 | 4 | 1:
Answer:  41/24 or decimal 1.70833333.....