express 0.35(bar on 35) + 4.24(bar on 4) in p/q form

Asked by suzanesharma307 | 22nd May, 2022, 05:56: PM

Expert Answer:

Let space straight x space equals space 0.35 with bar on top equals 0.353535... space and space straight y space equals space 4.2 4 with bar on top equals 4.24444.... space space space space space space space space space space space space... space left parenthesis 1 right parenthesis
rightwards double arrow 100 straight x equals space 35.3535... space and space 10 straight y space equals space 42.44444... space space space space space space space space space space space space... space left parenthesis 2 right parenthesis
Subtracting space left parenthesis 1 right parenthesis space from space left parenthesis 2 right parenthesis comma space we space get
99 straight x equals 35 space and space 9 straight y equals 38.2
straight x equals 35 over 99 space and space straight y equals fraction numerator 38.2 over denominator 9 end fraction
straight x plus straight y equals 35 over 99 plus fraction numerator 38.2 over denominator 9 end fraction equals fraction numerator 35 plus 420.2 over denominator 99 end fraction equals fraction numerator 455.2 over denominator 99 end fraction

Answered by Renu Varma | 27th May, 2022, 10:58: AM