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vovangra [49]
2 years ago
5

Name four fractions between 5/11 and 5/6

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

These are all between 5/11 and 5/6.
Allisa [31]2 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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=================================================

Work Shown:

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---------------

An alternative method involves solving the original equation using the quadratic formula. After you get the two roots x = p and x = q, you should be able to find that p + 1/p = 5 and also q + 1/q = 5 as well.

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