Question

What is 1.7¯ expressed as a fraction in simplest form?
13/7
25/9
8/7
16/9

Answer 1

 1.7¯ (7 is repeating)

16/9 = 1.7777778

answer is 

16/9 

Answer 2

Simplest fraction form of $1.\bar{7}$ is equals to $\frac{16}{9}$.

What is fraction?

"Fraction is defined as the relation between part of a quantity to the whole, when quantity is divided into equal parts."  

According to the question,

Given ,

'x' represents the fraction form of the given number.

$x= 1.\bar{7}$

⇒$x= 1.77\bar{7}$                   _____(1)                        

Multiply both the side by 10 we get,

$10x = 17.7\bar{7}$

⇒$10x = 17.77\bar{7}$                   ____(2)

Subtract (1) from (2) to get the simplest fraction form we have,

$9x = 16$

⇒$x = \frac{16}{9}$

Hence, simplest fraction form of $1.\bar{7}$ is equals to $\frac{16}{9}$.

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