Sum of 7 7/8 + 2 11/12

Solutions

1) Add the whole numbers first (7 and 2)

9 + 7/8 + 11/12

2) Find the Least Common Denominator (LCD) of

7 / 8, 11 / 12

Start by Listing Multiples

List out all multiples of each denominator, and find the first common one.

8 : 8,16,24

12 : 12,24

Therefore, the LCD is 24

Method 2: By Prime Factors

List all prime factors of each denominator, and find the union of these primes.

8 : 2,2,2

12 : 2,2,3

Therefore, the LCD is 2*2*2*3=24

3) Make the denominators the same as the LCD

9 + 7*3 / 8*3 + 11*2 / 12*2

4) Simplify. Denominators are now the same

9 + 21 / 24 + 22 / 24

5) J oin the denominators

9 + 21+22 / 24

6) Simplify

9 + 43 / 24

7) Convert 43 / 24 to mixed fraction

9+1 19 / 24

8) Simplify

10 19 / 24