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The value of 1.6‾+1.5‾–1.3‾ 1.\overline6 + 1.\overline5 – 1.\overline3 1.6+1.5–1.3 is:
Question

The value of 1.6‾+1.5‾–1.3‾ 1.\overline6 + 1.\overline5 – 1.\overline3 is:

A.

​179\frac{17}{9}​​

B.

​3445\frac{34}{45}​​

C.

​2363\frac{23}{63}​​

D.

​1999\frac{19}{99}​​

Correct option is A

Given: 
1.6‾+1.5‾–1.3‾1.\overline6 + 1.\overline5 – 1.\overline3     
Solution: 
= 1 + 1 -1 + 6‾+5‾−3‾\overline 6 + \overline5 - \overline3 
 =1+69+59−39 =1+6+5−39 =1+89 =179 = 1 + \frac{6}{9} + \frac{5}{9} - \frac{3}{9}\\\ \\= 1 + \frac{6+5-3}{9}\\\ \\= 1 + \frac{8}{9}\\\ \\= \frac{17}{9}​​
​​​​​

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