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) Join 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
