Question

Which Rational number exactly lies between 1/5 and 4/7

Answer 1

Answer:

3/5 this is the answer this question

Answer 2

Answer: The rational numbers between $\frac{1}{5}$ and $\frac{4}{7}$ are $\frac{8}{35}$,$\frac{9}{35}$,$\frac{10}{35}$,$\frac{11}{35}$,$\frac{12}{25}$,$\frac{13}{35}$,$\frac{14}{35}$,$\frac{15}{35}$,$\frac{16}{35}$,$\frac{17}{35}$,$\frac{18}{35}$,$\frac{19}{35}$ .

Step-by-step explanation:

Given: We have given $\frac{1}{5}$ and $\frac{1}{7}$

To find: We have to find rational numbers which lies between $\frac{1}{5}$ and $\frac{4}{7}$.

Step 1:To find rational numbers between $\frac{1}{5}$ and $\frac{4}{7}$ we have to firstly find the LCM of denominators 5 and 7 respectively.

i.e.            $5 = 5$ × $1$

                $7 = 7$ × $1$

∴ LCM of 5 and 7 is 35.

Step 2:To write $\frac{1}{5}$ and $\frac{4}{7}$ as same denominator 35, we have to multiply $\frac{1}{5}$  by $\frac{7}{7}$ and  $\frac{4}{7}$ by $\frac{5}{5}$.So we have,

                    $\frac{1}{5}$ × $\frac{7}{7} = \frac{7}{35}$

and              $\frac{4}{7}$ × $\frac{5}{5} = \frac{20}{35}$    

Step 3:So, the rational numbers between $\frac{7}{35}$ and $\frac{20}{35}$ are as follows,

                 $\frac{8}{35}$,$\frac{9}{35}$,$\frac{10}{35}$,$\frac{11}{35}$,$\frac{12}{25}$,$\frac{13}{35}$,$\frac{14}{35}$,$\frac{15}{35}$,$\frac{16}{35}$,$\frac{17}{35}$,$\frac{18}{35}$,$\frac{19}{35}$  

∴ The rational numbers between $\frac{1}{5}$ and $\frac{4}{7}$ are $\frac{8}{35}$,$\frac{9}{35}$,$\frac{10}{35}$,$\frac{11}{35}$,$\frac{12}{25}$,$\frac{13}{35}$,$\frac{14}{35}$,$\frac{15}{35}$,$\frac{16}{35}$,$\frac{17}{35}$,$\frac{18}{35}$,$\frac{19}{35}$  

Concept:A rational number is a type of real number, which is in the form of p/q where the denominator q is not equal to zero. Any fraction with non-zero denominator is a rational number. Some of the examples of rational numbers are 1/2, 1/5, 3/4, etc.. The number “0” is also a rational number, as we can represent it in many forms such as 0/1, 0/2, 0/3, etc. But, 1/0, 2/0, 3/0, etc. are not rational, since they give us infinite values.

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