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