Advertisements
Advertisements
प्रश्न
Express the following decimal as a rational number.
4.6724
Advertisements
उत्तर
Let x = 4.6724
= 4.6724724...
Here, only numbers 724 is being repeated, so first we need to remove 6 which proceeds 724.
We multiply by 10 so that only the recurring digits remain after decimal.
∴ 10x = 46.724724.... ....(1)
The number of digits recurring in equation (1) is 3, so we multiply both sides of the equation (1) by 1000.
∴ 10000x = 1000 x 46.724724...
= 46724.724.... ....(2)
On subtracting (1) from (2), we get
9990x = 4678
∴ x = `(46678)/(9990)`
= `(23339)/(4995)`
∴ 4.6724 = `(763)/(999)`
= `(23339)/(4995)`
APPEARS IN
संबंधित प्रश्न
Classify the decimal form of the given rational number into terminating and non-terminating recurring type.
`2/11`
Arrange `5/8, -3/16, -1/4 and 17/32` in descending order of their magnitudes.
Also, find the sum of the lowest and largest of these fractions. Express the result obtained as a decimal fraction correct to two decimal places.
Write the numerator of the following rational numbers: 0
Express `3/5` as a rational number with denominator: 25
State if the following fraction has a terminating decimal
`(5)/(7)`
State if the following fraction has a terminating decimal
`(57)/(64)`
State if the following fraction has a terminating decimal.
`(147)/(160)`
Express the following decimal as a rational number.
21.025
Express the following decimal as a rational number.
17.027
The decimal form of the rational number `15/(-4)` is __________
