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sasho [114]
2 years ago
11

Are multiplication and division of unit fractions related? Describe the relationship you see.

Mathematics
2 answers:
Burka [1]2 years ago
7 0

Hii

<em>Yes! They are indeed related.  When dividing fractions, we need multiplication. Say, for example. We need to multiply the reciprocal of the second fraction to the first.  So. If we needed to answer a question like "2/4  divided by 1/2" We would need to find a common denominator. We find common denominators by multiplication. We can do this 2 ways. See below.</em>

<em />

  1. <em>For one, we could multiply 2 and 4 to get 8.</em>
  2. <em>For two, we could see what 2 and 4 both multiply by. In this case 8.</em>

<em>Then we would need to divide 2 and 1. </em>

  • <em>1 can go into 2 twice. 1+1 is 2.</em>
  • <em>Then we multipy to find our denominator (this is a example of using multiplication with divison). </em>
  • <em>2x4 is 8. So the fraction would be 2/8.</em>

<em />

<em>Simplify.</em>

<em />

  • <em>Find the GCD (or HCF) of numerator and denominator GCD of 2 and 8 is 2</em>
  • <em>Divide both the numerator and denominator by the GCD 2 ÷ 2 / 8 ÷ 2</em>
  • <em>Reduced fraction: 1 / 4 Therefore, 2/8 simplified to lowest terms is 1/4.</em>

<em />

<em />

<em>Simplified you'd get 1/4.</em>

<em />

<em>(tip, once the numerator hits 1, you can no longer simplify)</em>

<em />

<em />

<em>Hope this helps!</em>

<em />

<em>Please give brainliest.</em>

Setler79 [48]2 years ago
4 0

Answer:Multiplication and division both need to have a common denominator or else you would get an incorrect answer. Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators."

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When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial
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Answer:

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

Step-by-step explanation:

For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability of an individual blood sample testing positive for the virus is 0.06.

This means that p = 0.06

If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.

It will be positive if at least one of the tests is positive, that is:

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.06)^{0}.(0.94)^{3} = 0.8306

Then

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8306 = 0.1694

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

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