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3 years ago

How do you convert 68.75% to a decimal and fraction in lowest terms

Mathematics

2 answers:

Leona [35]3 years ago

4 0

Answer:

11/16

Step-by-step explanation:

68.75 / 100 is the percentage value. You can divide both top and bottom of the fraction by 25
68.75 / 25 = 2.75
100/25 = 4
2.75/4 is one fractional answer.
if you want whole numbers on the numerator and denominator, multiply the top and bottom by 4
2.75 * 4 = 11
4 * 4 = 16
So the actual answer is 11/16

tia_tia [17]3 years ago

4 0

Answer:

Decimal: 0.6875 Fraction: 2.75/4

Step-by-step explanation:

To convert percent into a decimal you move the decimal point two places to the left. So 68.75% is equal to 0.6875.

To find the fraction form we know that 68.75% is 68.75/100 because percent is of one hundred. We can simply 68.75/100 by dividing the numerator and denominator by 25 and we get 2.75/4. So 68.75% as a fraction is 2.75/4.

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3 years ago

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Answer:

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Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

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and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

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