3/5 + ( - 2/3)
To add fractions, you need to have a common denominator. In this case, the common denominator is 15 (the least common multiple of 5 and 3).
3/5 can be written as (3/5) * (3/3) = 9/15.
-2/3 can be written as (-2/3) * (5/5) = -10/15.
Now you can add the fractions with the same denominator:
9/15 + (-10/15) = (9 - 10)/15 = -1/15.
Therefore, 3/5 + (-2/3) = -1/15.
To add these fractions, we need to find the common denominator, which is the least common multiple of the denominators, 5 and 3.
To find the least common multiple (LCM) of 5 and 3, you can list the multiples of each number and find the smallest number that appears in both lists. Here's how you can find it:
Multiples of 5: 5, 10, 15, 20, 25, 30, ...
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
From the above lists, we can see that 15 is the smallest number that appears in both lists. Therefore, 15 is the least common multiple (LCM) of 5 and 3.
Now, we need to rewrite the fractions with the common denominator of 15:
3/5 becomes (3/5) * (3/3) = 9/15, and
(-2/3) becomes (-2/3) * (5/5) = -10/15.
Finally, we add these fractions:
9/15 + (-10/15) = (9 + (-10))/15 = -1/15.
Therefore, 3/5 + (-2/3) equals -1/15.
To add the fractions 3/5 and -2/3, first find a common denominator:
The multiples of 5 are: 5, 10, 15, 20, ...
The multiples of 3 are: 3, 6, 9, 12, ...
The least common multiple (LCM) of 5 and 3 is 15.
Now, convert the fractions to have 15 as the common denominator:
3/5 is equivalent to (3/5) * (3/3), which is 9/15.
-2/3 is equivalent to (-2/3) * (5/5), which is -10/15.
Now you can add the fractions:
9/15 + (-10/15) = (9 - 10)/15 = -1/15.
So, the sum is -1/15.