Here’s a question I can’t seem to figure out…

Q1)16th% of 25?

Q2) Which of the following fraction is a terminating decimal?

a)19/91
b)17/225
c)12/231
d)41/256
e)35/324

Is there any other method to calculate terminating, rather than division?

JEN SAYS:

Do you want one-sixteenth of one percent of 25? If so, (1/16)(1/100)(25) will give you the answer.

The second one, I have a very good trick for! Think about what types of fractions terminate as decimals and what types don’t:

1/2 = 0.5 -> terminates
1/3 = 0.333333… -> doesn’t
1/4 = 0.25 -> terminates
1/5 = 0.2 -> terminates
1/6 = 0.16666… -> doesn’t

In short: if the denominator has only 2’s and/or 5’s in the denominator in fully reduced form, it’ll terminate. If not, it won’t.

Here are steps:
1) First, make sure you’ve fully reduced the fraction.
2) Make a prime tree for the denominator if needed. The numerator doesn’t matter (as long as it’s an integer).
3) If it’s only 2’s and/or 5’s, it’ll terminate. If not, it won’t.

Choice D) will terminate because 256 is just 2^8.

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