convert 0.143 into vulgar fraction if the bar is at 43
Answers
Answer:
71/495
Step-by-step explanation:
(143-1)/(1000-10)
=142/990
= 71/495
for similar problems, you can use the below given method to find the fraction
1. write number ignoring decimal and bar ( in the instant case it is 143)
2. write number ignoring decimal but excluding digits on which there is bar (in the instant case only digit 1 has no bar)
3. write 1 followed by number of as much zero as there are total digits after decimal (in this case there are three digits after decimal so 1000)
4. write 1 followed by as much zero as there are digits after decimal but without bar (in this case, there is only one digit 1 after decimal which has no bar so 10)
now,
the required fraction is
(1-2)/(3-4)
Answer : 14341.5657/990
Step-by-step explanation:
x=0.143
Multiply both sides by 10( since the number of digit without bar is 1)
__
10x = 1.43
10x = 1.4343------------ (I)
10 X 100x = 1.43---- X 100 ( since number of digit having bar is 2)
1000x =14343------- (ii)
subtracting (I) from (ii)
1000x - 10x = 14343 - 1.4343
990x = 14341.5657
x = 14341.5657/990