What is 1.7¯ expressed as a fraction in simplest form?
13/7
25/9
8/7
16/9
Simplest fraction form of \(1.\bar{7}\) is equals to \(\frac{16}{9}\).
"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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