express 0.383838.....+1.277777777........ as a fraction in the simplest form
Answers
Answered by
1
The answer is your given bellow,
1.66161578
1.66161578
tanu88:
But how it will come can you send me the photo
Answered by
1
let x = 0.38...... A
⇒10x = 38.38....... B
B-A
9x = 38
x= 38/9
let y = 1.277...
⇒10y = 12.7777..... A
⇒100y = 127.77.... B
B-A
90y = 115
y = 115/90
to get in fraction
x+y = 38/9 + 115/90
= 380/90 + 115/90 = 495/90 = 55/10 = 11/2
∴ the answer in simplest fraction is 11/2
⇒10x = 38.38....... B
B-A
9x = 38
x= 38/9
let y = 1.277...
⇒10y = 12.7777..... A
⇒100y = 127.77.... B
B-A
90y = 115
y = 115/90
to get in fraction
x+y = 38/9 + 115/90
= 380/90 + 115/90 = 495/90 = 55/10 = 11/2
∴ the answer in simplest fraction is 11/2
Similar questions