Q-1 Express the following number in the form of p/q. a) 2.56875. b) 15.712121212.
Answers
Answer:
Answer:
3111/198
Step-by-step explanation:
5.7121212... is nothing but 15.712 ( i am giving the bar symbol on down of the no.s it is 12 bar)
let, x = 15.712 = 15.7121212... -----------------1
then 1000x = 15712.12 = 15712.121212... ------------2
10x = 157.12 = 157.1212.. ----------- 3
subtract equation 3 with 2
so,
1000x = 15712.1212....
10x = 00157.1212....
- -
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990x = 15555.0000...
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x = 15555/990
x = 3111/198
therefore the fractional form (p/q) of 15.7121212... is 3111/198
m
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:D
Answer:i) 5/2
ii) 79/5
Step-by-step explanation: To express a decimal number to rational form
Simply remove the decimal point and get zeros to 1 with each steps u take the decimal back
Like in the above question
2.56785 = 256785/100000
Now u can cancel it using 5 table till it can get cancelled
= 51357/20000 it won't get cancelled more. This is in the p/q form
Though if u will take just one digit after decimal I.e. 2.5 = 25/10 =5/2
Similarly 15.7121212 =157121212/10000000
=39030303/2500000
Or simply taking one digit after decimal
15.8(approx)= 158/10 =79/5