Question

Kyle drew three line segments with lengths: 2/4 inch 2/3inch, and 2/6 inch list the fractions in order from least to greatest

Answer 1

First, find the lowest common denominator (LCD)

3- 3, 6, 9, 12
4- 4, 8, 12
6- 6, 12

The common denominator in this case is 12.

What did we do to transform 4 to 12?

Multiply by 3, and whatever we do to the denominator, we do to the numerator, so the first one becomes 6/12.

2
— x 3 = 6/12
4

2
— x 4 = 8/12
3

2
— x 2 = 4/12
6

The answer, in order from least to greatest is:

2/6, 2/4, and 2/3

Hope this helps!

Answer 2

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Method 1
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Since the numerators are the same, the smaller the denominators, the greater the fraction is.

Arranging from the least to the greatest
$\dfrac{2}{6} \ , \ \dfrac{2}{4} \ , \ \dfrac{2}{3}$


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Method 2
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Lets change all to the same denominators 

$\dfrac{2}{4} = \dfrac{2 \times 3}{4 \times 3} = \dfrac{6}{12}$

$\dfrac{2}{3} = \dfrac{2 \times 4}{3 \times 4} = \dfrac{8}{12}$

$\dfrac{2}{6} = \dfrac{2 \times 2}{6 \times 2} = \dfrac{4}{12}$

Now that all the denominators are the same, we can arrange the fractions by comparing the numerators. The bigger the numerators, the greater the fraction.

Arranging from the least to the greatest
$\dfrac{2}{6} \ , \ \dfrac{2}{4} \ , \ \dfrac{2}{3}$