Solutions
1) The first step is to find the Least Common Denominator (LCD) of 3/8,1/8,1/3,1/4
⇒ Start Listing Multiples
List out all multiples of each denominator, and find the first common one.
8: 8,16,24
8 : 8,16,24
3 : 3,6,9,12,15,18,21,24
4 : 4,8,12,16,20,24
Therefore, the LCD is 24
⇒ By Prime Factors
List all prime factors of each denominator, and find the union of these primes.
8 : 2,2,2
8 : 2,2,2
3 : 3
4 : 2,2
Therefore, the LCD is 2×2×2×3=24
Make the denominators the same as the LCD
3×3 / 8×3 +1×3 / 8×3 −1×8 / 3×8 +1×6 / 4×6
Simplify. Denominators are now the same
9 / 24+3 / 24−8 / 24+6 / 24
Join all the denominators
9+3−8+6 / 24
Simplify
10 / 24
Simplify fraction 10 / 24
5 / 12
