Math, asked by tomartejaswa, 22 days ago

find two rational number between -3 upon 4 and 5 upon 6​

Answers

Answered by charulataramteke1987
3

Answer:

-2 -1 1 2 3

Step-by-step explanation:

5 5.1 5.2 5.3 5.4 5.5 6

Answered by TwilightShine
6

Answer :-

  • Two rational numbers between -3/4 and 5/6 are -8/12 and -7/12.

Given :-

  • Two rational numbers -3/4 and 5/6.

To find :-

  • Two rational numbers between them.

Step-by-step explanation :-

  • Before finding two rational numbers between -3/4 and 5/6, we have to make their denominators same. For doing this, let's find the LCM of their denominators [4, 6] first!

\begin{array}{c | c} \underline2 & \underline{4, 6} \\ \underline2 & \underline{2, 3 }\\  \underline3 &  \underline{1, 3} \\ & 1, 1\end{array}

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Hence :-

  • The LCM of 4 and 6 is 2 × 2 × 3 = 12.

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So, the given numbers can also be written as :-

\dfrac{-3}{\:\:\:4} = \dfrac{-3 \times 3}{\:\:\:4 \times3} = \dfrac{-9}{\:12}

\dfrac{5}{6} = \dfrac{5 \times 2}{6 \times 2} = \dfrac{10}{12}

Now,

\bf \dfrac{-9}{\:12} , \dfrac{-8}{\:12} , \dfrac{-7}{\:12} , \dfrac{-6}{\:12} \: .... \: \dfrac{10}{12}

We can choose any two rational numbers from here.

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Hence :-

  • Two rational numbers between -3/4 and 5/6 are -8/12 and -7/12.

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