-1/2+1/3 connexs math quiz unit 4 lesson 4 7th grade
1. -1/6
2. - 9 7/10
3. 7/8
4. 1 3/10
5. 8 4/5
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What have you learned about adding or subtracting fractions?
You lowest common denominator is 6.
Change both fractions to a denominator of 6, and go from there.
To find the solution for the expression -1/2 + 1/3, we need to find a common denominator for the fractions.
The common denominator for 2 and 3 is 6.
Now, we need to convert each fraction so that the denominators are both 6:
-1/2 can be converted to -3/6 (multiply the numerator and denominator by 3).
1/3 can be converted to 2/6 (multiply the numerator and denominator by 2).
Now we can add the fractions:
-3/6 + 2/6 = -1/6
Therefore, the solution to -1/2 + 1/3 is -1/6.
To solve the expression -1/2 + 1/3, we need to find a common denominator and then combine the fractions.
Step 1: Find the common denominator
The common denominator is the smallest multiple that both denominators, 2 and 3, will divide into evenly. In this case, the least common denominator (LCD) is 6.
Step 2: Convert the fractions to have the same denominator
To convert -1/2 and 1/3 to have a common denominator of 6, we need to multiply the numerator and denominator of each fraction by the same number.
For -1/2, multiplying both the numerator and denominator by 3 gives us (-1 * 3) / (2 * 3) = -3/6.
For 1/3, multiplying both the numerator and denominator by 2 gives us (1 * 2) / (3 * 2) = 2/6.
Now, our expression becomes -3/6 + 2/6.
Step 3: Combine the fractions
We can now add the fractions because they have the same denominator. When adding fractions, we add the numerators and keep the denominator the same.
-3/6 + 2/6 = (-3 + 2) / 6 = -1/6.
Therefore, -1/2 + 1/3 simplifies to -1/6.