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2 years ago

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

Mathematics

2 answers:

Burka [1]2 years ago

7 0

Hii

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.

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

Then we would need to divide 2 and 1.

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

Simplify.

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

Simplified you'd get 1/4.

(tip, once the numerator hits 1, you can no longer simplify)

Hope this helps!

Please give brainliest.

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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A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new

Anit [1.1K]

Answer:

predictive value of a positive test = 18.18%

predictive value of a negative test = 94.03%

Step-by-step explanation:

Sensitivity = 60% = 0.6

Specificity = 70% = 0.7

Let True Positive = TP

True Negative = TN

False Negative = FN

$Sensitivity = \frac{TP}{TP + FN} \\0.6 = \frac{TP}{TP + FN} \\0.6TP + 0.6FN = TP\\0.4TP = 0.6FN\\TP = 1.5 FN$

$Specificity = \frac{TN}{TN + FP} \\0.7 = \frac{TN}{TN + FP} \\0.7TN + 0.7FP = TN\\0.7FP = 0.3 TN\\TN = 7/3 FP$

Prevalence = 10% = 0.1

Three hundred people are screened, $T_{total} = 300$

Total number of people having the disease, $T_{disease} = ?$

$Prevalence = \frac{T_{disease} }{T_{total} } \\0.1 = \frac{T_{disease} }{300 }\\T_{disease} = 30$

$T_{disease} = TP + FN\\30 = TP + FN$

But TP = 1.5 FN

30 = 1.5 FN + FN

30 = 2.5 FN

FN = 30/2.5

FN = 12

TP = 1.5 FN = 1.5 * 12

TP = 18

$FP + TN = T_{total} - T_{disease} \\FP + TN = 300 - 30\\FP + TN = 270\\FP + \frac{7}{3} FP = 270\\\frac{10}{3} FP = 270\\FP = 27 * 3\\FP = 81$

81 + TN = 270

TN = 189

To calculate the Predictive value of positive test (PPT)

$PPT = \frac{TP}{TP + FP} * 100\\PPT = \frac{18}{18+81} * 100\\PPT = \frac{18}{99} * 100\\PPT = 18.18 \%$

To calculate the Predictive value of negative test (PNT)

$PPT = \frac{TN}{FN + TN} * 100\\PPT = \frac{189}{189+12} * 100\\PPT = \frac{189}{201} * 100\\PPT = 94.03 \%$

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morpeh [17]

Answer:

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Step-by-step explanation:

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lesya692 [45]

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