Home
Class 9
MATHS
Express 1.overline4 as a fraction in the...

Express `1.overline4` as a fraction in the simplest form.

A

`(15)/(9)`

B

`(13)/(9)`

C

`(17)/(9)`

D

`(19)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `x = 1. overline4`.
Then `x =1.444…." "….(i)`
Since the reqeating block has only one digit 4, we mulitplu x by 10 to get
`10x = 14.444…. " "…(ii)`
Subtracting (i) from (ii), we get
`9x = 13 hArr x = (13)/(9) =1(4)/(9)`.
Hence, `1.overline4 = 1(4)/(9)`
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEMS

    RS AGGARWAL|Exercise Exericse 1A|9 Videos

  • NUMBER SYSTEMS

    RS AGGARWAL|Exercise Exericse 1B|5 Videos

  • MEAN , MEDIAN AND MODE OF UNGROUPED DATA

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|18 Videos

  • POLYNOMIALS

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|32 Videos

Similar Questions

Explore conceptually related problems

Express 0.2overline(54) as a fractions in simplest form.

Express 0.overline(32) as a fraction in simplest form.

Express 0.0bar(01) as a fraction in the simplest form.

Express 0.overline(4) as a rational number in simplest form.

Express 2.overline36 + 0.overline23 as a fraction in simplest form.

Express 0.001 as a fraction in the simplest form.

Convert into a fraction in its simplest form: 0.9

Convert into a fraction in its simplest form: 0.6

Convert into a fraction in its simplest form: 0.15

Convert into a fraction in its simplest form: 0.08