Question

Insert 6 rational number between 1by 2 and 2by 5

Answer 1

Answer:

Ok,

Step by Step Explanation:

6  rational numbers 1/2 and 2/5.

1. First we should observe the denominators of the fractions whether they are like fractions of unlike fractions.

2. If the fractions are like ( with same denominator), proceed to solve direct and if the fractions are unlike, make their denominators same.

Solution,

$\frac{1}{2}$ and $\frac{2}{5}$      [ These are unlike fractions ]

multiply and divide the 1st fraction by the denominator of the second fraction and in turn, multiply and divide the second fraction by the denominator of the first fraction.

$\frac{1}{2}$  X $\frac{5}{5}$ and $\frac{2}{5}$  X $\frac{2}{2}$

$\frac{5}{10}$  and  $\frac{4}{10}$

now we need to find 6 rational numbers so we shall take successor of asked no . Therefore, we shall multiply and divide both the fractions by 7

$\frac{5}{10}$ X $\frac{7}{7}$ and  $\frac{4}{10}$ X $\frac{7}{7}$

$\frac{35}{70}$ and $\frac{28}{70}$

Now, insert the numbers between $\frac{35}{70}$ and $\frac{28}{70}$

6 rational numbers are : 29/70, 30/70, 31/70, 32/70, 33/70, 34/70

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make it short by solving again without explaination

Solution

$\frac{1}{2}$ and $\frac{2}{5}$

$\frac{1}{2}$  X $\frac{5}{5}$ and $\frac{2}{5}$  X $\frac{2}{2}$

$\frac{5}{10}$ X $\frac{7}{7}$ and  $\frac{4}{10}$ X $\frac{7}{7}$

$\frac{35}{70}$ and $\frac{28}{70}$

$\frac{5}{10}$  and  $\frac{4}{10}$

6 rational numbers are : 29/70, 30/70, 31/70, 32/70, 33/70, 34/70

*Please mark as brainliest*