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What is least to greatest 2/8 2/1 3/4 5/6 7/6

yKpoI14uk [10]

Answer:

2/8, 3/4, 5/6, 7/6, 2/1

Step-by-step explanation:

To convert the fractions into ascending order (least to greatest):

1. Determine the LCM (Least common multiple) of the denominators.

2. Then, using the LCM, multiply such number to the denominators such that the product is equivalent to the LCM of the denominators.

Note: The number we multiply to the denominator must also be multiplied to the numerator.

3. Finally, create the set, in ascending order.

<h3>Determine the LCM of the denominators:</h3>

Given fraction set;

$\dfrac{2}{8} ; \ \dfrac{2}{1}; \ \dfrac{3}{4}; \ \dfrac{5}{6};\ \dfrac{7}{6}$

Therefore, the denominators of the fraction set are;

$\implies \text{Denominators: 8, 1, 4, 6, 6}$

Determining the LCM using Division method;

$\ \ \underline{................}\\2\underline{| 8, 1, 4, 6, 6}\\ 2\underline{|4, 1, 2, 3, 3} \\ 2\underline{|2,1,1,3,3} \\3 \underline{|1, 1,1,1,1}$

LCM of denominators: 2 × 2 × 2 × 3 = 24

<h3>Multiplying the denominators:</h3>

LCM of denominators: 24

<u>Multiply such number such that the denominators are equivalent to 24.</u>

$\implies \dfrac{2}{8} ; \ \dfrac{2}{1}; \ \dfrac{3}{4}; \ \dfrac{5}{6};\ \dfrac{7}{6}$

$\implies \dfrac{2 \times 3}{8 \times 3} ; \ \dfrac{2 \times 24}{1 \times 24} ; \ \dfrac{3 \times 6}{4 \times 6} ; \ \dfrac{5 \times 4}{6 \times 4} ; \ \dfrac{7 \times 4}{6 \times 4}$

$\implies \dfrac{6}{24} ; \ \dfrac{48}{24} ; \ \dfrac{18}{24} ; \ \dfrac{20}{24}; \ \dfrac{28}{24}$

<h3>Creating the set, in ascending order;</h3>

<u>Simply compare the fractions and put them in "smallest to biggest" order.</u>

$\implies \dfrac{6}{24} ; \ \dfrac{48}{24} ; \ \dfrac{18}{24} ; \ \dfrac{20}{24}; \ \dfrac{28}{24}$

$\implies \dfrac{6}{24} < \dfrac{18}{24} < \dfrac{20}{24} < \dfrac{28}{24} < \dfrac{48}{24}$

$\implies \dfrac{6}{24} \ \ \huge{\text{(}\dfrac{2}{8} } \text{)}; \ \dfrac{18}{24} \ \huge{\text{(}\dfrac{3}{4}\huge{\text{)} ; \ \dfrac{20}{24} \ \huge{\text{(}\dfrac{5}{6} \huge{\text{)} ; \ \dfrac{28}{24} \ \huge{\text{(} \dfrac{7}{6} \huge{\text{)}; \ \dfrac{48}{24} \ \huge{\text{(} \dfrac{2}{1} \huge{\text{)}$

Therefore, the set, in ascending order, is 2/8, 3/4, 5/6, 7/6, 2/1

Learn more about this topic: <u>brainly.com/question/27432239</u>

8 0

2 years ago

Venn diagram question really

-BARSIC- [3]

Hello!

1.
You have to add all the numbers up in the venn diagram to get how many people participated

18 + 11 + 24 + 8 + 7 + 1 + 17 = 86

The answer is 86 people
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2.
To find how many people like country you add all the numbers in the country circle

8 + 7 + 1 + 17 = 33

The answer is 33 people
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3.
To find how many people likes only country music you look at the number that is only in the country circle

The answer is 17 people
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4.
To find how many people like rap and country you add the numbers that are in both of the circles

1 + 7 = 8

The answer is 8 people
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5.
To find the amount of people that liked rap and country but not rock you look at the number in only the rap and country circle

The answer is 1 person
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6.
To find how many people liked rock or rap you add all the numbers in those circles

18 + 7 + 11 + 24 = 60

The answer is 60 people
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Hope this helps!

8 0

3 years ago

If 7x+3=24 what is the value of 5-4x?

sleet_krkn [62]

If 7x+3=24, that means x would be 3 so if you take 5-4x then that would be -7.

5 0

4 years ago

Read 2 more answers

Can anyone help me with science and math 23 assignments that I have missing including English also it’s in Jupiter grades

Alex_Xolod [135]

Answer:

I guess! I will try my best! I may not know all the answers, but I can help you with most I hope!