Answer :
First, add the two measurements up, then subtract it from 8.
3 1/2 + 2 1/3
Convert to improper fractions:
7/2 + 7/3
Convert to denominators of 6:
21/6 + 14/6
Add the numerators:
35/6
Subtract from 8:
8 - 35/6
Convert 8 into a denominator of 6:
48/6 - 35/6
Subtract the numerators:
13/6
Convert to a mixed number:
2 1/6
So 2 1/6 of the board is left.
3 1/2 + 2 1/3
Convert to improper fractions:
7/2 + 7/3
Convert to denominators of 6:
21/6 + 14/6
Add the numerators:
35/6
Subtract from 8:
8 - 35/6
Convert 8 into a denominator of 6:
48/6 - 35/6
Subtract the numerators:
13/6
Convert to a mixed number:
2 1/6
So 2 1/6 of the board is left.
first all fractions must have the same denominators
1/2= 3/6
1/3= 2/6
3 3/6+2 2/6= 5 5/6 cut off pieces
8-5 5/6= 2 1/6