Steps in adding fractions.
Step 1. Make sure that the denominators are the same.
5/9 + 2/15
* 9 and 15 are the denominators, they are not the same. we need to look for a common number between the two.
* 9 x 5 = 45 ; 15 x 3 = 45. 45 is their common number. we can use it as their common denominator.
5/9 must both be multiplied by 5. 5 * 5 = 25 ; 9 * 5 = 45 ; 25/45
2/15 must both be multiplied by 3. 2 * 3 = 6 ; 15 * 3 = 45 ; 6/45
Step 2. Add the numerators and place them above their common denominator
25/45 + 6/45 = (25 + 6)/45 = 31/45
Step 3. Simplify the fraction
31/45 is already the simplified fraction.
Therefore, 5/9 + 2/15 = 31/45
Steps in Subtracting fractions.
Step 1. Make sure the denominators are the same.
11/12 - 3/4
* 12 and 4 are not the same, however, 12 is 3 times bigger than 4. Therefore, we can multiply 3/4 by 3. 3*3 / 4*3 = 9/12
Step 2. Subtract the numerators and place them above the common denominator
11/12 - 9/12 = (11-9)/12 = 2/12
Step 3. Simplify the fraction
2/12 can still be simplified. both numbers can be divided by 2.
2 / 2 = 1 ; 12 / 2 = 6
2/12 = 1/6
11/12 - 3/4 = 1/6