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vovangra [49]
3 years ago
5

Name four fractions between 5/11 and 5/6

Mathematics
2 answers:
liq [111]3 years ago
8 0
5/10, 5/9, 5/8, 5/7.

These are all between 5/11 and 5/6.
Allisa [31]3 years ago
7 0

Answer:

6/11,  20/33,  2/3,  25/33  (answers vary)

Step-by-step explanation:

First, we need to convert both of these fractions to the same denominator. To do that, we need to find the least common denominator for both fractions.

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

11: 11, 22, 33, 44, 55, 66, 77

The LCM of 6 and 11 is 66. (6 * 11 = 66)

Now, we multiply 5/6 by 11/11 and 5/11 by 6/6.

\frac{5}{6} *\frac{11}{11}=\frac{55}{66}\\\\\\\frac{5}{11} *\frac{6}{6} =\frac{30}{66}

Now, we can just choose four numbers between 30 and 55 and get our answer (remember to simplify!).

\frac{36}{66} =\frac{6}{11}

\frac{40}{66}=\frac{20}{33}

\frac{44}{66} =\frac{2}{3}

\frac{50}{66} =\frac{25}{33}

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3 years ago
Write an equation for a direct variation that includes the point (3, 18)
erma4kov [3.2K]
Direct variation means that the line goes through the origin of the graph, so you know that the line must go through point (0,0). Using that along with the given point, you can find the slope of the line.

m = \frac{y_2 - y_1}{x_2 - x_1}
m = \frac{18 - 0}{3 - 0}
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Now that you know the slope of the line you are looking for is 6, you can plug that into a point-slope form equation and find the equation of your line.

y - y_1 = m (x - x_1)   Plug in either set of coordinate. I chose (3, 18).
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The equation of a direct variation line that includes the point (3, 18) is y = 6x.
  
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