2/3-(-3/5)

Question

well i cant figure out this answer and im basically simplifying these fractions

Answer 1

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.

Answer 2

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. 

Answer 3

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.

Answer 4

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