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3 years ago

Find 2 2/3 / 4 1/3 . Simplify the answer and write as a mixed number if appropriate.

Mathematics

2 answers:

Delvig [45]3 years ago

8 0

2 2/3 ÷ 4 1/3 = 8/13

SSSSS [86.1K]3 years ago

3 0

Turn both fractions to improper.

2 2/3 = multiply whole number by the denominator. which is 6. now add the numerator with 6. and this equals to 8. now use 8 as a numerator and keep the same denominator. so it should be 8/3.

Do the same thing for 4 1/3 and you get 13/3.

now you both have improper fractions.

= 8/3 divided by 13/3 .

flip the second fraction, : 13/3, and this is called reciprocal.

And turn the division sign to multiplication.

= 8/3 x 3/13

multiply both numerators and denominators.

8 x 3 = 24

3 x 13= 39

now you have 24 / 39

you can further simplify it. both are divisible by 3.

24 divided by 3 is 8

39 divided by 3 is 13

Now your fraction remain as: 8/13.

This is the farthest it can simplify. so your answer is 8/13.

thank you for posting your answer here on brainly, have a great day!

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Answer:

(1) Variance = 4.5 and Standard deviation = 2.121.

(2) Variance = 4.5 and Standard deviation = 2.121.

(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged.

Step-by-step explanation:

We are given with the following set of data below;

X $X-\bar X$ $(X-\bar X)^{2}$

5 5 - 8 = -3 9

8 8 - 8 = 0 0

10 10 - 8 = 2 4

9 9 - 8 = 1 1

6 6 - 8 = -2 4

Total 72 36

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{72}{9}$ = 8

(1)Now, the variance of the given data is;

Variance = $\frac{\sum (X-\bar X)^{2} }{n-1}$

= $\frac{36}{9-1}$ = 4.5

So, the standard deviation, (S.D.) = $\sqrt{\text{Variance}}$

= $\sqrt{4.5}$ = 2.12

(2) Now, each value is added by 2; so the new data set is given by;

X $X-\bar X$ $(X-\bar X)^{2}$

7 7 - 10 = -3 9

10 10 - 10 = 0 0

12 12 - 10 = 2 4

11 11 - 10 = 1 1

8 8 - 10 = -2 4

Total 90 36

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{90}{9}$ = 10

(1)Now, the variance of the given data is;

Variance = $\frac{\sum (X-\bar X)^{2} }{n-1}$

= $\frac{36}{9-1}$ = 4.5

So, the new standard deviation, (S.D.) = $\sqrt{\text{Variance}}$

= $\sqrt{4.5}$ = 2.12

(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged as we see in the case of variance or standard deviation.

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Without dividing out GCFs you would get 24x12 over 30 x 60 which is 288/1800
With dividing out GCFs you get 2/1 x 5/1 Which is 7 :)

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