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2/3-(-3/5)

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4 Answers

2  -  -3
3       5
 
This is equal to:
2 + 3
3    5
 
1. Find the Lowest common Denominator (LCD) of 3 and 5 
   i.e find the smallest number that can be divided by both 3 and 5.
   LCD of 3, and 5 is 15.
 
2. Rewrite the equivalent fractions with the new denominator of 15
    Remember whatever is done to the denominator of each fraction
    must be done to its numerator also.
   2(5) + 3(3)   = 10  +   9 
   3(5)    5(3)       15      15
 
3. Add the fractions
    Since their denominators are the same, simply add the numerators.
    19  = 1  4/15
    15
 
    Remember that your final answer must be in its simplest form.
Hi Shakur,
 
 
 
2/3 - (- 3/5)             (First get rid of the parenthesis; the negative sign inside will become                                          positive since there is a negative sign outside the parenthesis.)
 
it will result as:
 
2/3 + 3/5                 (Now you cannot add them since both fractions have different                                                     denominators so you will have to find a least common denominator -                                         here it is 3*5 = 15)
 
2*5/15 + 3*3/15
 
10/15 + 9/15
 
19/15                       (Simplify this answer by changing it into a mixed number as answers cannot be left            as an improper fraction)
 
 
1 4/15                      (Answer)
 
 
Hope this helps!
 
- Fatima K. 
The most important thing to remember is that two minuses are the same as a plus. So in this case we have 2/3 + 3/5.
 
Next, find the common denominator, which is 15 here. So:
2/3*5/5 = 10/15
and
3/5 * 3/3 = 9/15
 
Now you have 10/15 + 9/15, which will give you your answer.
2/3 - (-3/5)
 
First, let's get rid of the double negative: subtracting a negative is the same as adding a positive, so we could also write the expression as:
 
2/3 + 3/5
 
Now, to be able to add fractions, we need to come up with a common denominator. In this case, 15 would be the best option, so let's multiply each fraction to make them each have a denominator of 15.
 
2/3 x 5/5 = 10/15
 
3/5 x 3/3 = 9/15
 
So, 10/15 + 9/15 = 19/15, or 1 4/15