Question

Teacher asked the students "can we write 0.47 (bar on 7) in p/q form as 47/100? Sridhi answered" No, it is 43/90, is sridhi correct? Justify her answer​

Answer 1

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Steps for explanation:-

Let x = 0.47,

x = 0.47777... (a)

We need to multiply both sides by 10 to get 10x =

4.7777... (b)

we need to subtract (a) from (b) to get:-

9x= 4.3

We can also write 9x = 4.3 as x = 4.3/9 or x = 43/90.

Therefore, on converting 0.47 in the p/q form,,we get the answer as 43/90.

Hence, sridhi was right in her opinion, the given decimal can be written in the form of 43/10

Thus, proved!!

Answer 2

Steps for explanation:-

Let x = 0.47,

x = 0.47777... (a)

We need to multiply both sides by 10 to get 10x =

4.7777... (b)

we need to subtract (a) from (b) to get:-

9x= 4.3

We can also write 9x = 4.3 as x = 4.3/9 or x = 43/90.

Therefore, on converting 0.47 in the p/q form,,we get the answer as 43/90.

Hence, sridhi was right in her opinion, the given decimal can be written in the form of 43/10

Thus, proved!!