Advertisements
Advertisements
Question
Express the following decimal as a rational number.
2.67
Advertisements
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
Write the following number in `p/q` form.
0.555
Write the numerator of the following rational numbers: 2
Separate positive and negative rational numbers from the following:
`(-3)/5 , 3/-5 , (-3)/(-5), 3/5 , 0 , (-13)/-3 , 15/-8 , (- 15)/8`
Express `3/5` as a rational number with denominator: 45
Express `3/5` as a rational number with denominator: 25
Seven equal pieces are made out of a rope 5 of 21 `5/7` m. Find the length of each piece.
State if the following fraction has a terminating decimal.
`(147)/(160)`
Write the following rational number in decimal form.
`7 3/5`
Write the following rational number in decimal form.
`4/3`
Write the following rational number in decimal form.
`17/8`
