# if the fractions 1/2, 2/3, 5/9, 6/13, and 7/9 are arranged in ascending order of their values, which one will be the fourth?

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## If the fractions 1/2, 2/3, 5/9, 6/13 and 7/9 are arranged in ascending order of their values, which one will be the fourth ?

If the fractions 1/2, 2/3, 5/9, 6/13 and 7/9 are arranged in ascending order of their values, which one will ... (c) 5/9 (d) 7/9 (e) None of these

## If the fractions 1/2, 2/3, 5/9, 6/13 and 7/9 are arranged in ascending order of their values, which one will be the fourth ?

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## If the fractions 1/2, 2/3, 5/9, 6/13, and 7/9 are arranged in ascending order of their values, which one will be the fourth?

Please explain the logic behind it.

Chitra S Pillai+Follow

425 Followers Asked on 09-08-2022 Q:

If the fractions 1/2, 2/3, 5/9, 6/13, and 7/9 are arranged in ascending order of their values, which one will be the fourth?

Please explain the logic behind it.

MathematicsFractionsArrangedAscending OrderValuesFourth

2 Answer Share Save 7 1 Answer Answer (1)

Ruchi+Follow 151 Followers

Answered on 10-08-2022

Answer:

2/3 is the fourth when the given fractions are arranged in ascending order.

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## If factors 1/2,2/3,5/9,6/13, and 7/9 are arranged in ascending order of their values, which one will be the fourth?

Answer (1 of 3): If factors 1/2,2/3,5/9,6/13, and 7/9 are arranged in ascending order of their values, which one will be the fourth? By inspection, it is very clear that 6/13 is the smallest fraction. Why? Because, in all other cases, the numerator is at least half of the denominator or more. O...

If factors 1/2,2/3,5/9,6/13, and 7/9 are arranged in ascending order of their values, which one will be the fourth?

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Sort HsBadarinath

Ph.D. in Civil Engineering. Maths keeps one mentally active.Author has 60.9K answers and 37.4M answer views2y

They are fractions and not factors.

Well here is the method. 1/2, 2/3, 5/9, 6/13, 7/9 can be converted to their decimal form as 0.50, 0.67, 0.56, 0.46, 0.78, which can be arranged in ascending order as 0.46. 0.50. 0.56, 0.67, 0.78.

So the fourth decimal value, in ascending order is 0.67 and the corresponding fraction is 2/3. Answer.

Another method: Find the LCM of the denominators

2 3 9 = 3x3 13

LCM = 2x3x3x13 = 234.

Now convert 1/2, 2/3, 5/9, 6/13, 7/9 to a common base as 117/234, 156/234, 130/234, 108/234, 182/234. These can be arranged in the ascending order of the numerators as 108/234, 117/234, 13

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Prabhakar Rao

Head academics at Dr. Reddy's Foundation (2006–present)Author has 301 answers and 485.7K answer views3y

If they are fractions rather than factors,then 1/2 is smaller than 2/3. 7/9 is greater than 5/9. When we compare 2/3 and 7/9, 7/9 is obvious winner because when we convert them into like fractions 2/3 will become 18/27 and 7/9 will become 21/27. Between 2/3 and 5/9, 2/3 wins hands down with the same logic. Now we have 1/2 is smallest fraction fallowed by 5/9 then by 2/3, and now for championship fight is between 6/13 and 7/9. When we convert them into like fractions 6/13 will become 54/117 and 7/9 will become 91/117 again here 7/9 is hands down winner. The fourth fraction will be 7/9.

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Anil Bapat

Have studied Mathematics up to pre-Degree LevelAuthor has 2.1K answers and 2.4M answer views2y

If factors 1/2,2/3,5/9,6/13, and 7/9 are arranged in ascending order of their values, which one will be the fourth?

By inspection, it is very clear that 6/13 is the smallest fraction. Why? Because, in all other cases, the numerator is at least half of the denominator or more.

On the same lines 7/9 is the greatest fraction. Why? Because, no numerator is as close to the denominator (over 77%) in terms

Tayeba Khatun 4y Related

If 5,3=28 and 7,6 =55 and 4,5=21 what is 3,8?

5,3=5^2+3=28 7,6=7^2+6=55 4,5=4^2+5=21 Then, 3,8=3^2+8=17 Philip Lloyd

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Jeremy Collins

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The sum of a number and its reciprocal is 13/6. What is the number?

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If I add 14 to my house number, the sum is a perfect square.If I subtract 14 from my house number the sum is also a perfect square.What is my house number?

Let us suppose that your house number is “x". If we add 14 to x it is a perfect square and if I subtract 14, it still is a perfect square.

One thing which we are sure about is that your house number is greater than 14.

Because 14–14 wouldn't give you a perfect square and if it's less than that then you get a negative number.

So, perfect square with your house number greater than 14 can be 6 and for that your house number must be 22, so that 22+14=36 gives you a perfect square but 22–14=8 isn't a perfect square.

Now, let's suppose the perfect square is 7. For that your house number must be 35, so t

Kevin Kildea

MA in Mathematics & Television Production, University Of Detroit (Graduated 2000)5y

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How do you evaluate without a calculator (1+2+3+4+5+6+7+8+9) ²-(1+2+3+4+5+6+7+8+9)?

Originally Answered: How do you evaluate without a calculator {1+2+3+4+5+6+7+8+9} ²-{1+2+3+4+5+6+7+8+9}?

Using paper and pencil, this is not difficult to actually add, multiply, then subtract to calculate but let’s do this mentally.

Regroup 1+2+3+4+5+6+7+8+9 as:

(1+9)+(2+8)+(3+7)+(4+6)+5

10+10+10+10+5=45

Now we have (45)^2 - 45. There is a cool trick to square any integer that ends in 5. The square of any integer that ends in 5 ends in 25. Eliminate the 5 and use the remaining number, in this case 4. Add one to the number, (4+1=5). Multiply 4 by 5 and you get 20. So 45^2=2025.

Now 2025 - 45 = 1980.

Another way to calculate is the realize that 45^2 - 45 is the same as 45(45–1) if you factor a 45 out of

Guys, does anyone know the answer?