the first place after the decimal is the ones place?

Question

What is the percent  of 161 is 23?

n*161=23

n*161/161=23/161

n=.142 How do you get the decimal form? and if its a mixed fraction how do you determine that?

Answer 1

Hi, Ligia.

You are correct in how you have worked the problem so far. As Daniel said, to change the decimal to a percent, you multiply by 100; the other way to say that is that you move the decimal point 2 places to the right. (Also note that 23/161 should round to .143, or 14.3%)

As for a mixed fraction, if your problem had been something like what percent of 161 is 200? You would solve it the same way, but you would get 1.242 which would be 124.2%

Hope this helps.

Answer 2

You already have the answer in the decimal form; n = 0.142 is a decimal. When you need the answer as a percentage, multiply the decimal by 100%

23/161 * 100%    ====>    0.142 * 100% = 14.2%

 

The first place value after the decimal point is the tenths place, the second place value is the hundredths place, the third is the thousandths place, and so on.  

0.1 = one tenth
0.01 = one hundredth
0.001 = one thousandth 
etc

The ones place value is immediately to the left of the decimal point - a mixed fraction would have to be greater than 1 (or smaller than -1), eg. 1.3 as a mixed fraction is 1 and 3/10, 20.75 as a mixed fraction would be 20 and 3/4.

eg. the number 4293.756 has a 4 thousands, 2 hundreds, 9 tens, 3 ones, 7 tenths, 5 hundredths, and 6 thousandths, and as a fraction would be 4293 and 756/1000 (simplifies to 4293 and 189/250).