Question

Express 1.2777 in the form of p/q where p is not equal to 0 and p,q are integers

Answer 1

Heya !!

Here is your answer :-

Let x= 1.2777...
10x = 12.7777..
100x = 127.777..

On substracting 10x from 100x we get
100x-10x = 127.77 - 12.77
=> 90x = 115.
=> x = 115/90

Answer 2

Answer:

Concept:

Positive, negative, and 0 are all considered integers. Integers include even full numbers. Integers are frequently depicted as a number line for ease of understanding. Positive numbers will be located on the right side of the number line, while negative numbers will be located on the left.

Step-by-step explanation:

Given:

Let 1.2777 in the form of p/q where p is not equal to 0 and p, q are integers.

To find:

Express the numbers in the form of p/q.

Solutions:

Let x=1.2777 is an integer

multiply x by 10,we get

10x = 12.77.....(1)

multiply x by 100 ,we get

100x = 127.77.....(2)

on subtracting equation (1) and (2) we get

⇒ 100x-10x =127.77- 12.77

⇒ 90x = 115

⇒ x = $\frac{115}{90}$

⇒ x = $\frac{23}{18}$

Hence the 1.2777 can be expressed in the form as $\frac{23}{18}$

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