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yKpoI14uk [10]
3 years ago
5

What is 1/2,0.55,5/7 in least to greatest?

Mathematics
2 answers:
olga_2 [115]3 years ago
6 0

Answer:

5/7, 1/2, 0.55

I believe this is the correct answer. Correct me if i'm wrong.


Neporo4naja [7]3 years ago
3 0

Answer:

1/2, 0.55, 5/7 is your answer

Step-by-step explanation:

Change each into decimal

1/2 = 0.50

0.55 = 0.55

5/7 = ~0.71

0.50 < 0.55 < 0.71

~

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To turn 0.(6)=0.6666... into a fraction you should do such steps:

1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .

2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by 10^n to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by 10^1 = 10. Thus, you have 10x = 10 \cdot 0.666... or 10x = 6.666.....

3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore, 10x-x=6.666...-0.666...\\ 9x=6.

4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction: 9x = 6. If you divide both sides by 9, you get x=\dfrac{6}{9}. When simplified, you get that x=\dfrac{2}{3}.

Answer: 0.(6)=0.666... =\dfrac{2}{3}.

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