Express 1.32̅ + 0.35̅̅̅̅ in the form
p/q
, where p and q are integers and q ≠ 0
Answers
Answered by
7
ans for first is 119/90
ans for 2 is 32/90
ans for 2 is 32/90
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Answered by
18
Hola Mate!!
Your answer :-
![= > 1.3222... + 0.3555... \\ \\ = > let \: x = 1.3222... \: and \: let \: y = 0.3555... \\ \\ = > 10x = 13.222... \: and \: 10y = 3.555... \\ \\ = > 100x = 132.222... \: and \: 100y = 35.555... \\ \\ = > subtracting.... \\ \\ = > 100x - 10x = 132.222... - 13.222... \: and \: 100y - 10y = 35.555... - 3.555... \\ \\ = > 90x = 119 \: and \: 90y = 32 \\ \\ = > x = \frac{119}{90} \: and \: y = \frac{32}{90} \\ \\ = > adding.... \\ \\ = > \frac{119}{90} + \frac{32}{90} \\ \\ = > \frac{119 + 32}{90} \\ \\ = > \frac{151}{90} = > 1.3222... + 0.3555... \\ \\ = > let \: x = 1.3222... \: and \: let \: y = 0.3555... \\ \\ = > 10x = 13.222... \: and \: 10y = 3.555... \\ \\ = > 100x = 132.222... \: and \: 100y = 35.555... \\ \\ = > subtracting.... \\ \\ = > 100x - 10x = 132.222... - 13.222... \: and \: 100y - 10y = 35.555... - 3.555... \\ \\ = > 90x = 119 \: and \: 90y = 32 \\ \\ = > x = \frac{119}{90} \: and \: y = \frac{32}{90} \\ \\ = > adding.... \\ \\ = > \frac{119}{90} + \frac{32}{90} \\ \\ = > \frac{119 + 32}{90} \\ \\ = > \frac{151}{90}](https://tex.z-dn.net/?f=+%3D++%26gt%3B+1.3222...+%2B+0.3555...+%5C%5C++%5C%5C++%3D++%26gt%3B+let+%5C%3A+x+%3D+1.3222...+%5C%3A+and+%5C%3A+let+%5C%3A+y+%3D+0.3555...+%5C%5C++%5C%5C++%3D++%26gt%3B+10x+%3D+13.222...+%5C%3A+and+%5C%3A+10y+%3D+3.555...+%5C%5C++%5C%5C++%3D++%26gt%3B+100x+%3D+132.222...+%5C%3A+and+%5C%3A+100y+%3D+35.555...+%5C%5C++%5C%5C+++%3D++%26gt%3B++subtracting....+%5C%5C++%5C%5C++%3D++%26gt%3B+100x+-+10x+%3D+132.222...+-+13.222...+%5C%3A+and+%5C%3A+100y+-+10y+%3D+35.555...+-+3.555...+%5C%5C++%5C%5C++%3D++%26gt%3B+90x+%3D+119+%5C%3A+and+%5C%3A+90y+%3D+32+%5C%5C++%5C%5C++%3D++%26gt%3B+x+%3D++%5Cfrac%7B119%7D%7B90%7D++%5C%3A+and+%5C%3A+y+%3D++%5Cfrac%7B32%7D%7B90%7D++%5C%5C++%5C%5C++%3D++%26gt%3B++adding....+%5C%5C++%5C%5C++%3D++%26gt%3B++%5Cfrac%7B119%7D%7B90%7D++%2B++%5Cfrac%7B32%7D%7B90%7D++%5C%5C++%5C%5C++%3D++%26gt%3B++%5Cfrac%7B119+%2B+32%7D%7B90%7D++%5C%5C++%5C%5C++%3D++%26gt%3B++%5Cfrac%7B151%7D%7B90%7D+)
☆ Hope it helps ☆
Your answer :-
☆ Hope it helps ☆
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