Answer:
13 5/24
Explanation:
Firstly, turn all mixed fractions into improper ones:
(8 7/8 + 2 1/3 + 4 1/4) - (3 3/4 - 1 1/2)
(71/8 + 7/3 + 17/4) - (15/4 - 3/2)
Now use GCF to find a denominator that suits all fractions:
8 : 8, 16, 24
3 : 3, 6, 9, 12, 15, 18, 21, 24
4 : 4, 8, 12, 16, 20, 24
The GCF of the first three fractions are 24. Simply add them all:
(213/24 + 56/24 + 102/24) - (15/4 - 3/2)
(371/24) - (15/4 - 3/2)
Now find the GCF of the remaining two fractions:
4 : 4
2 : 2, 4
The GCF of the last two fractions are 4, now add them all as well:
15/4 - 6/4
9/4
(371/24) - (6/4)
Now find the GCF:
24 : 24
4 : 4, 8, 12, 16, 20, 24
(371/24 - 36/24)
317/24
Now turn it into a mixed number:
13 5/24