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Triss [41]
3 years ago
15

What is 2/5 + 8/9 in fraction operations

Mathematics
2 answers:
VladimirAG [237]3 years ago
4 0
Hope this helps u....!!!

alexandr1967 [171]3 years ago
3 0

First change both fractions so that they will have a common denominator. The greatest common factor of both denominators, 5 and 9, is 45. Therefore, 45 will be your new common denominator.

Now change both fractions:

\frac{2 \times 9}{5 \times 9} = \frac{18}{45}

\frac{8 \times 5}{9 \times 5} = \frac{40}{45}

Now add the 2 new fractions:

\frac{18}{45} + \frac{40}{45} = \frac{58}{45} \rightarrow 1 \frac{13}{45}

Your answer is 1 \frac{13}{45}

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Answer: The correct answer is option C: Both events are equally likely to occur

Step-by-step explanation: For the first experiment, Corrine has a six-sided die, which means there is a total of six possible outcomes altogether. In her experiment, Corrine rolls a number greater than three. The number of events that satisfies this condition in her experiment are the numbers four, five and six (that is, 3 events). Hence the probability can be calculated as follows;

P(>3) = Number of required outcomes/Number of possible outcomes

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Therefore the probability of rolling a number greater than three is 0.5 or 50%.

For the second experiment, Pablo notes heads on the first flip of a coin and then tails on the second flip. for a coin there are two outcomes in total, so the probability of the coin landing on a head is equal to the probability of the coin landing on a tail. Hence the probability can be calculated as follows;

P(Head) = Number of required outcomes/Number of all possible outcomes

P(Head) = 1/2

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Therefore the probability of landing on a head is 0.5 or 50%. (Note that the probability of landing on  a tail is equally 0.5 or 50%)

From these results we can conclude that in both experiments , both events are equally likely to occur.

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