Math  /  Algebra

Question(n+n)(n1)(n+1)(n+n)(n-1)(n+1) Find the LCD of each group of fractions.
21. 14,56\frac{1}{4}, \frac{5}{6}
22. 12,38\frac{1}{2}, \frac{3}{8}
23. 32,25,14\frac{3}{2}, \frac{2}{5}, \frac{1}{4}
24. 23,59,115\frac{2}{3}, \frac{5}{9}, \frac{1}{15}
25. 58,25,43\frac{5}{8}, \frac{2}{5}, \frac{4}{3}
26. 23,34,59\frac{2}{3}, \frac{3}{4}, \frac{5}{9} 6241\frac{6}{241}

Find the LCD of each group of fractions.
27. a+2b4,2ba6\frac{a+2 b}{4}, \frac{2 b-a}{6}
28. n212,n+315\frac{n-2}{12}, \frac{n+3}{15}
29. n115,n+320\frac{n-1}{15}, \frac{n+3}{20}
36. 32x+10,x5x+25\frac{3}{2 x+10}, \frac{x}{5 x+25}
37. 3aa+1,2a1\frac{3 a}{a+1}, \frac{2}{a-1}
38. 3a24,5a+2\frac{3}{a^{2}-4}, \frac{5}{a+2} implify.
7. 3n2+2n\frac{3}{n^{2}}+\frac{2}{n}
18. 6x2y4xy\frac{6}{x^{2} y}-\frac{4}{x y}
19. 52x14x2\frac{5}{2 x}-\frac{1}{4 x^{2}}
20. 13x2+56x\frac{1}{3 x^{2}}+\frac{5}{6 x}

Studdy Solution
For the expression 13x2+56x\frac{1}{3x^2} + \frac{5}{6x}, the denominators are 3x23x^2 and 6x6x. The least common multiple is 6x26x^2. Rewrite the expression as 26x2+5x6x2=2+5x6x2\frac{2}{6x^2} + \frac{5x}{6x^2} = \frac{2 + 5x}{6x^2}.

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