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goldenfox [79]
3 years ago
10

Explain how you can tell if a rational expression is in simplest form. Include an example with your explanation.

Mathematics
1 answer:
yan [13]3 years ago
7 0
The  numerator and denominators will  have no common factors.

For example 4/6 is not in its simplest form  because  both 4 and 6 can be divided by 2.  In simplest form this will be 2/3.
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iris [78.8K]

Answer:

D. \frac{2}{5}

Step-by-step explanation:

Since we know that the odds of an events can be found by dividing the probability that an event will occur by the probability that the event will not occur.

\text{Odds of an event}=\frac{\text{Probability that event will occur}}{\text{Probability that event will not occur}}

Probability of an event not occurring can be found by subtracting probability of the event occurring from 1.

\text{Odds of an event}=\frac{\text{Probability that event will occur}}{1-\text{Probability that event will occur} }  

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Upon substituting our given values in above formula we will get,

\text{Odds of the given event}=\frac{\frac{2}{7}}{1-\frac{2}{7}} }

\text{Odds of the given event}=\frac{\frac{2}{7}}{\frac{7-2}{7}} }

\text{Odds of the given event}=\frac{\frac{2}{7}}{\frac{5}{7}} }

\text{Odds of the given event}=\frac{2}{7}\times \frac{7}{5}

\text{Odds of the given event}=\frac{2}{5}

Therefore, the odds of the same event are \frac{2}{5} and option D is the correct choice.



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