Question

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Find any four rational numbers between 1/5 and 1/8
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Answer 1

Answer:

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Answer 2

Final answer: 11/80,  12/80,  13/80,  14/80

Given that: We are given 1/5 and 1/8.

To find: We have to find four rational numbers between 1/5 and 1/8.

Explanation:

• To find rational numbers between 1/5 and 1/8, making their denominators same. In order to make their denominators same, taking LCM for 5 and 8 which is 40.

• So, multiplying 1/5 with 8/8 , and 1/8 with 5/5.

               $\frac{1}{5} * \frac{8}{8} = \frac{1 * 8}{5* 8} = \frac{5}{40}$

               $\frac{1}{8} * \frac{5}{5} = \frac{1*8}{5*8} = \frac{8}{40}$

• We can pick only two integers as numerator in between 5 and 7 with denominator as 40: So , multiplying again 5/40 with 2/2, and 8/40 with 2/2.

             $\frac{5}{40} * \frac{2}{2} = \frac{5 * 2}{40 * 2} = \frac{10}{80}$

             $\frac{8}{40} * \frac{2}{2} = \frac{8 * 2}{40 * 2} = \frac{16}{80}$

• Now we can pick any four integers as numerator in between 10 and 16 with denominator as 80: Here we take 11,12,13,14 are numerators.

• Now, we can insert any 4 rational numbers between 10/80 and 16/80. I.e. 11/80, 12/80, 13/80, 14/80.

• Therefore, required four rational numbers between 1/5 and 1/8 are

       11/80, 12/80, 13/80, 14/80.

To know more about the concept please go through the links

https://brainly.in/question/54142476

https://brainly.in/question/42153951

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