Sum of 7 7/8 + 2 11/12

1 answer:

4 0

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

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