-1 1/3+(_4 2/3)
To solve this problem, we need to add -1 1/3 and _4 2/3 together.
First, let's convert -1 1/3 to an improper fraction:
-1 1/3 = -4/3 + 1/3 = -4/3 + 3/3 = -1/3
Now, let's add the two fractions together:
-1/3 + _4 2/3
To add fractions, we need to have a common denominator. The least common denominator (LCD) for 1/3 and 2/3 is 3.
Now, let's convert _4 to an improper fraction:
_4 = -4/1
Now, we can rewrite the problem:
-1/3 + -4/1 + 2/3
To add the fractions, we need to have the same denominator:
-1/3 + -12/3 + 2/3
Now, we can add the numerators together and keep the denominator the same:
-1 - 12 + 2 = -13
The sum is -13/3.
Therefore, -1 1/3 + (_4 2/3) equals -13/3.
To add -1 1/3 and 4 2/3, we first need to convert the mixed numbers into improper fractions.
-1 1/3 can be written as (-1 * 3 + 1) / 3 = -4/3
4 2/3 can be written as (4 * 3 + 2) / 3 = 14/3
Now we can add the fractions:
-4/3 + 14/3
To add fractions, we must have a common denominator. In this case, the denominators are already the same (both fractions have a denominator of 3). So, we can simply add the numerators:
(-4 + 14) / 3 = 10/3
Therefore, -1 1/3 + 4 2/3 equals 10/3.