Question

•Find the decimal representation of 1/7 and using this result calculate the decimal representation of 2/7 and 5/7.

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Answer 1

1/7= 0.14 ( approx)

2 x 1/7= 0.28

5 x 1/7= 0.7


these are approximate values.

Answer 2

1/7=0.143, 2/7=0.286 & 5/7=0.715

Step-by-step explanation:

First, we have to find the decimal representation of  $\dfrac{1}{7}$.

The decimal representation of $\frac{1}{7}$ can be found on dividing 1 by 7.

$1 \div 7 = 0.143\\\Rightarrow \frac{1}{7} = 0.143$ (approximately)

Now, we can find out the values or the decimal representations of $\dfrac{2}{7} \ \& \ \dfrac{5}{7}$  as well using the value of $\dfrac{1}{7}$ .

Since,

$\dfrac{2}{7} = 2 \times \dfrac{1}{7}$

So, it can also be written as:

$\frac{2}{7} = 2 \times 0.143 = 0.286$

And also,

 $\dfrac{5}{7} = 5 \times \dfrac{1}{7}$

So, we can write,

$\frac{5}{7} = 5 \times 0.143 = 0.715$

Thus,

and  $\frac{1}{7} = 0.143\\ \\\frac{2}{7} =0.286\\ \\ \frac{5}{7}=0.715$

are the required approximate decimal representations of the given question.