How do you write 4.01 as a fraction?

3 Answers

Oddman Profile
Oddman answered
You can eliminate the decimal point by multiplying by 100. You can keep the same value you started with by dividing that result by 100.   4.01 = (4.01*100)/100 = 401/100 
Any decimal is easily converted to a fraction this way. Remove the decimal point and express the resulting value over 1 followed by the number of zeros formerly to the right of the decimal point. Example with 1 decimal place: 0.1 = 01/10 Example with 3 decimal places: 84.323 = 84323/1000  Then, you can reduce the fraction by dividing out the factors of 2 or 5 that may exist.   1.25 = 125/100   = 25/20    both numerator and denominator divided by 5   = 5/4    both numerator and denominator divided by 5 again.
John McCann Profile
John McCann answered
Set 4 aside. Put .01 over 1

.01/1

move decimal places all the way right, top and bottom, to whole numbers

1/100

now

4 and 1/100

change to improper fraction

(100*4+1)/100

= 401/100
------that is how you get the answer you already have

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