When calculating the sum of two numbers with different signs, we subtract the lesser absolute value from the greater absolute value.
- 5/8
Practice makes perfect
We want to find the sum and simplify the result of the addition. Let's look at the given expression!
- 1 38+ 3/4
Before we can evaluate our sum involving mixed numbers, the mixed numbers must first be rewritten as fractions.
a bc
a* c+b/c
Simplify
- 1 38
-(1* 8+3/8)
-11/8
When adding or subtracting fractions they should have the same denominator. In this case, we have two fractions with different denominators.
- 13/8+ 3/4 [0.3em] ⇓ [0.3em]
-11/8+ 3/4
Since 8 is a multiple of 4, we can start by multiplying both the numerator and denominator of 34 by 2 to create a common denominator.
Now, we can find the sum of two fractions with different signs. Recall that to do so, we will subtract the lesser absolute value from the greater absolute value. Then, we will use the sign of the number with the greater absolute value. First, we will calculate the absolute value of the integers.
| -11/8|=11/8and| 6/8|=6/8
Notice that | - 118| is greater than | 68|. This means that we should subtract | 68| from | 118|. Let's do it!
