- 2/3+(- 3/5)
To find the sum of -2/3 and -3/5, we need to find a common denominator for the fractions. The least common denominator for 3 and 5 is 15.
So, we rewrite the fractions with a common denominator of 15:
-2/3 = -10/15 (multiplied numerator and denominator by 5)
-3/5 = -9/15 (multiplied numerator and denominator by 3)
Now, we can add the fractions:
-10/15 + (-9/15) = -19/15
Therefore, the sum of -2/3 and -3/5 is -19/15.
To add fractions with different denominators, you need to find a common denominator.
Step 1: Find the least common multiple (LCM) of 3 and 5, which is 15.
3: 3, 6, 9, 12, 15
5: 5, 10, 15
Step 2: Convert the fractions to have the same denominator.
- 2/3 = (- 2/3) * (5/5) = -10/15
- 3/5 = (- 3/5) * (3/3) = -9/15
Step 3: Add the fractions.
- 10/15 + (- 9/15) = (- 10 - 9)/15 = - 19/15
Therefore, - 2/3 + (- 3/5) = - 19/15.