Question

Express 4.678 where bar on 678 in the p/q form​

Answer 1

Answer:

answer is 1558/333

Step-by-step explanation:

4.678678678........

let x = 4.678678.....

multiply by 1000 in both side

1000x = 4.678678... × 1000

1000x = 4678.678678

1000x = 4674 + 4.678678....

1000x = 4674 + x

1000x - x = 4674

999x = 4674

x = 4674/999

x = 1558/333

Answer 2

Answer:

1. Let x = 4.678 (where bar is on 678) ( equation 1)
2. now As bar Is on three digits I.e. 678

so we will multiply 1000 both sides.

1. 1000x = 4678.678 (equation 2)

subtracting equation 1 from equation 2

• 1000x - x = 4678.678 - 4.678
• 999x = 4674
• x = 4674/999