SOLUTION: 1/2 % + 0.86 - 2/3 is approximately _____. a.0.194 b.0.196 c.0.197 d.0.198 e.0.199

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: 1/2 % + 0.86 - 2/3 is approximately _____. a.0.194 b.0.196 c.0.197 d.0.198 e.0.199      Log On


   



Question 903712: 1/2 % + 0.86 - 2/3 is approximately _____.
a.0.194
b.0.196
c.0.197
d.0.198
e.0.199

Found 2 solutions by ewatrrr, Theo:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
.005
.86
-.666
.865 - .666 = .199

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
1/2% is equal to .5% is equal to .005

.86 is equal to .86

2/3 is equal to .66667 rounded to 5 decimal places.

.005 + .86 = .865 - .66667 = .198333

round that to 3 decimal places and you get .198.

you could also have converted them all to fractions as follows;

1/2% = 1/200

.86 = 86/100

2/3 = 2/3

the least common denominator appears to be 600, so translate all to common denominator of 600.

1/200 * 3/3 becomes 3/600

86/100 * 6/6 becomes 516/600

2/3 * 200/200 becomes 400/600

3/600 + 516/600 - 400/600 becomes equal to 119/600 which becomes equal to .198333... which rounds to .198 rounded to 3 decimal places.

you get the same answer either way so it's probably good.

the answer is .198.

note that the decimal equivalent of a percent is the percent divided by 100%.

100% / 100% = 1
50% / 100% = .5
5% / 100% = .05
.5% / 100% = .005