Simplest terms add(-3/10)+1/5
To add -3/10 and 1/5, we need to find a common denominator. The least common denominator between 10 and 5 is 10, so we can rewrite the fractions as -3/10 and 2/10.
Adding these fractions together, we get:
-3/10 + 2/10 = -1/10
So in simplest terms, -3/10 + 1/5 is equal to -1/10.
To add fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 10.
Step 1: Convert both fractions to have a denominator of 10.
- For -3/10, the numerator stays the same, so it becomes -3/10.
- For 1/5, multiply both the numerator and denominator by 2 to get 2/10.
Step 2: Add the fractions.
- -3/10 + 2/10 = -1/10.
Therefore, the simplest form of the expression -3/10 + 1/5 is -1/10.
To add fractions, you need to have a common denominator. In this case, the denominators are 10 and 5.
Step 1: Find the least common multiple (LCM) of 10 and 5. The LCM of 10 and 5 is 10.
Step 2: Convert the fractions to have a denominator of 10.
For the first fraction, -3/10, since the original denominator is already 10, it does not need to be converted.
For the second fraction, 1/5, multiply both the numerator and denominator by 2 to get a denominator of 10. This gives you 2/10.
So now, the expression becomes -3/10 + 2/10.
Step 3: Add the fractions with the common denominator.
-3/10 + 2/10 = (-3 + 2)/10 = -1/10.
Therefore, the simplest form of -3/10 + 1/5 is -1/10.