Advertisements
Advertisements
Question
Express the following decimal expression into rational number
`3.1bar(7)`
Solution
Let x = 3.1777……. ...(1)
(Here the repeating decimal digit is 7, which is the second digit after the decimal point, multiply equation (1) by 10)
10x = 31.7777…….. ...(2)
(Now period of decimal is 1, multiply equation (2) by 10)
100x = 317.7777…….. ...(3)
(3) – (2)
100x – 10x = 317.777…. – 31.777….
90x = 286
x = `286/90`
= `143/45`
APPEARS IN
RELATED QUESTIONS
Express `1/13` in decimal form. Find the length of the period of decimal
Express the rational number `1/33` in recurring decimal form by using the recurring decimal expansion of `1/11`. Hence write `71/33` in recurring decimal form.
Express the following decimal expression into rational number
`0. bar(24)`
Express the following decimal expression into rational number
`2. bar(327)`
Express the following decimal expression into rational number
– 5.132
Express the following decimal expression into rational number
`17. 2bar(15)`
Express the following decimal expression into rational number
`-21.213bar(7)`
