Advertisements
Advertisements
Question
Express the following decimal as a rational number.
2.67
Solution
Let x = 2.67
Then, x = 2.676767..... ....(1)
Here, the number of digits recurring is 2, so we multiply both sides of the equation (1) by 100.
∴ 100x = 100 x 2.676767....
= 267.8989..... ....(2)
On subtracting (1) from (2), we get
99x = 265
∴ x = `(265)/(99)`
∴ 2.67 = `(265)/(99)`
APPEARS IN
RELATED QUESTIONS
Classify the decimal form of the given rational numbers into terminating and non-terminating recurring type.
`11/6`
Write the following number in its decimal form.
`sqrt 5`
Write the following rational number in decimal form.
`-11/13`
Write the numerator of the following rational numbers: `37/(-137)`
Express the following integer as a rational number with denominator 7- 5
Express `4/7` as a rational number with numerator: −20
Convert the following fraction into a decimal :
`(3)/(5)`
Express the following decimal as a rational number.
0.7
Express the following decimal as a rational number.
0.35
Write the following rational number in decimal form.
`25/99`
