Before we can evaluate a sum or difference involving mixed numbers, the mixed numbers must first be rewritten as fractions.
a bc
a* c+b/c
Simplify
8 12
8* 2+1/2
17/2
3 45
3* 5+4/5
19/5
When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators.
17/2 + 19/5
Since 10 is a least common denominator of 2 and 5 we can multiply both the numerator and denominator of 172 by 5 and 195 by 2 to create a common denominator. We will start with the first fraction.
