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taurus [48]
3 years ago
10

What Is 3/8+1/8-1/3+1/4

Mathematics
2 answers:
konstantin123 [22]3 years ago
4 0
Solutions 

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

</span>Simplify
<span>10 / 24

</span>Simplify fraction 10 / <span>24</span>
<span>5 / 12</span>
olya-2409 [2.1K]3 years ago
4 0
The answer to your question is 5/12. I solved this using P.E.M.D.A.S. Hope this helped. ☻
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