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# How is 125% written as a decimal and as a fraction?

How is 125% written as a decimal and as a fraction?

### 2 Answers by Expert Tutors

Diane S. | Math and Chemistry Tutor. Test Prep: SAT/ACT, Praxis, ISEE and more!Math and Chemistry Tutor. Test Prep: SAT...
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Percent literally means per 100.  Whenever you see the word percent, or the symbol %, take whatever is before it, and put it over 100.

So 125% = 125/100.  That can be reduced to 5/4.

To convert to a decimal, you can do long division, dividing 5 into 4.  Or, you can realize 5/4 = 1 and 1/4,  = 1.25.

125/100 is easier to see as a decimal.  125/100 = 1 and 25/100.   "25 hundredths" is written down exactly as it is said 0.25, with the digit 5 in the hundredths place of the decimal. So 1 and 25 hundredths is 1.25.

In addition to what Diane said,

When converting a percent to a decimal, there are a couple of shortcuts you can use. As Diane said, you can convert from percentage to decimal by dividing by 100. Our number system in decimal allows each digit to have 10 possibilities: 0-9.
The 'point' is shifted 2 places to the left so that
125.%  becomes 1.25 and
45.% becomes 0.45 and
4.3% becomes 0.043 and
354.% becomes 3.54 and
1.% becomes 0.01

When going the other direction, from decimal to percentage,
shift the decimal point two places to the right
0.354 becomes 35.4%
0.0001 becomes 0.01%
4.385423 becomes 438.5423% and
23 becomes 2300%
This is because to shift to percentage, you multiply by 100.

Another important point to note is that the 'number' in a percentage is bigger than the 'number' in the decimal. 125 is bigger than 1.25-- but their values are the same. They are interchangeable, they are equal.
125% = 1.25 and 1.25 = 125%. But always put the bigger number with the percentage form.
Thank you so much Diane.
Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
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125 % = 1.25        ? same as converting 125c to \$1.25

125 % = 1.25 = 1 25/100 = 1 1/4