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STALIN [3.7K]
2 years ago
8

Simplify the rational expression. (Your final answer should have one term.)

Mathematics
2 answers:
max2010maxim [7]2 years ago
7 0

Answer:

\frac{73}{36}

Step-by-step explanation:

\frac{3}{4} - \frac{2}{9} + \frac{3}{2}

1. Convert all the fractions to a common denominator.

For this problem, the common denominator will be 36

\frac{3}{4} * 9 = \frac{27}{36}

\frac{2}{9} * 4 = \frac{8}{36}

\frac{3}{2} * 18 = \frac{54}{36}

2. Substitute the values back into the equation, and solve

\frac{3}{4} - \frac{2}{9} + \frac{3}{2}

= \frac{27}{36} - \frac{8}{36} + \frac{54}{36}

= \frac{19}{36} + \frac{54}{36}

= \frac{73}{36}

andrezito [222]2 years ago
3 0

Answer:

  • 2 1/36

Step-by-step explanation:

  • 3/4 - 2/9 + 3/2 =
  • 3/4*9/9 - 2/9*4/4 + 3/2*18/18 =   ⇒ Common denominator LCM(4,9,2)=36
  • 27/36 - 8/36 + 54/36 =
  • (27 - 8 + 54)/36 =
  • 73/36 =
  • 2 1/36
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