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sergey [27]
3 years ago
9

5/6 + 1/3 adding fractions with unlike denominators.

Mathematics
1 answer:
Phantasy [73]3 years ago
4 0

Answer: 7/6 or 1 1/6

Step-by-step explanation:

First, convert all the fractions so that they have like denominators, using LCM, or Least Common Multiple. This means that you must find the least common multiple that the two denominators share, which in this case is 6. 6 will become the denominator for both fractions  At this point, to find the numerators, I use my own sort of mental method to get the answer. I first take the LCM and divide it by the denominator of one of the fractions (let's do 1/3) which would give me 2. Then multiply this number by the numerator of the same fraction you started with, which is 2 again. So, your new fraction is 2/6. Since 5/6 already has a denominator of 6, you don't have to do anything, but if it did, you would just repeat the same method. At this point, the new problem is 5/6 + 2/6. Add like normal, and leave in either improper form (7/6) or mixed numbers (1 1/6) based on instructions.

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BlackZzzverrR [31]
For every biked mile you run half a mile (1/2)

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5 0
3 years ago
A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts. Estimate the true proportion
Andreas93 [3]

Answer: (0.5496, 0.5754)

Step-by-step explanation:

The confidence interval for population proportion (p) is given by :-

\hat{p}\pm z*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}  , where \hat{p}= Sample proportion , n= sample size , z*= Critical z-value.

Let p be the  proportion of all college students who are in favor of banning Hawaiian shirt.

Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.

i.e. n=4000

\hat{p}=\dfrac{2250}{4000}=0.5625

z-value for 90% confidence level is 1.645

Now , 90% confidence interval for p would be :

0.5625\pm (1.645)(\sqrt{\dfrac{0.5625(1-0.5625)}{4000}})

=0.5625\pm (1.645)(\sqrt{0.0000615234375})\\\\=0.5625\pm (1.645)(0.00784368774876)\\\\\approx0.5625\pm0.0129\\\\=(0.5625-0.0129, \ 0.5625+0.0129)\\\\=(0.5496,\ 0.5754)

Hence, the required 90% interval = (0.5496, 0.5754)

6 0
3 years ago
The length of a rectangle is 6 yards longer than its width. If the perimeter of the rectangle is 32 yd, find its area in square
ddd [48]
Let, width = x
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Now, perimeter, 2(l+b) = 2(x+6+x)
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As rectangle's dimensions are 11*5, it's area would be: 11 * 5 = 55 yards²

So, your final answer is 55 Yd²

Hope this helps!
8 0
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Luba_88 [7]
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AveGali [126]
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<span>but
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6 0
3 years ago
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