Advertisements
Advertisements
Question
Express the following decimal as a rational number.
0.763
Solution
Let x = 0.763
Then, x = 0.763763..... .....(1)
Here, the number of digits recurring is 3, so we multiply both sides of the equation (1) by 1000.
∴1000x = 1000 x 0.763763....
= 763.763..... ....(2)
On subtracting (1) from (2), we get
999x = 763
∴ x = `(763)/(999)`
∴ 0.763 = `(763)/(999)`
APPEARS IN
RELATED QUESTIONS
Write the following numbers in `bb("p"/"q")` form.
30.219
Write the following number in its decimal form.
`9/11`
Write the following rational number in decimal form.
`(-103)/5`
Write the denominator of the following rational numbers: `(-3)/4`
Express `4/7` as a rational number with numerator: -12
The sum of two numbers is `- 6/5`. If one of them is -2, find the other.
Seven equal pieces are made out of a rope 5 of 21 `5/7` m. Find the length of each piece.
Convert the following fraction into a decimal :
`(12)/(21)`
Write the decimal form of the following rational numbers
`1/11`
Write the following rational number in decimal form.
`23/7`
