Question

find p by q form 7.7 bar plus 2.7 bar​

Answer 1

Answer:

Let x = 0.6 Multiply by 10 on L.H.S and R.H.S, 10x = 6 x = 6/10 x = 3/5 So, the p/q form of 0.6 = 3/5 Let y = 0.77777… Multiply by 10 on L.H.S and R.H.S, 10y = 7.7777… 10y – y = 7.7777777……. – 0.7777777………….. 9y = 7 y = 7/9 So the p/q form of 0.7777… = 7/9 Let z = 0.47777… Multiply by 10 on L.H.S and R.H.S, 10z = 4.7777… 10z – z = 4.7777777… – 0.47777777… 9z = 4.2999 z ≈ 4.3/9 z = 43/90 So the p/q form of  0.4777… = 43/90 Therefore, p/q form of  0.6 + 0. ¯¯¯ 7 + 0.4 ¯¯¯ 7 0.6+0.7¯+0.47¯ is, x+y+z = 3/5 + 7/9 + 43/90 = (54 + 70 + 43)/90