Because the place value determines the appropriate power of 10 in the denominator.
The denominator of the fraction is determined by the number of decimal places in the decimal number. If there is one decimal place, the denominator will be 10. If there are two decimal places, the denominator will be 100, and so on.
To convert a fraction to a decimal, you divide the numerator by the denominator. For a mixed number, you add the whole number to the fraction before converting to a decimal. Once you have the decimal, round to the nearest thousandth by looking at the fourth decimal place. For example, if you have 3/4, it is 0.75 as a decimal, which rounds to 0.750 to the nearest thousandth.
To change .01 into a fraction, we can first write it as a decimal. .01 is the same as 0.01. We then need to convert this decimal into a fraction. To do this, we can use the method for converting any decimal into a fraction. First, we need to multiply 0.01 by 100 to get rid of the decimal point. 100 x 0.01 = 1. Now that we have a whole number and a decimal, we can convert this into a fraction. To do this, we need to place the whole number (1) over the number of decimal places (2). This gives us the fraction 1/100. Therefore, 0.01 can be written as the fraction 1/100.
To get the decimal, divide the numerator of the fraction by the denominator. If the decimal runs to more than one place, then you have to round it to one decimal place.
A decimal number is one in which the place value of each digit is ten times the place value of the digit to its right. (... , thousands, hundreds, tens, units, tenths, hundredths, ... ) A decimal point is used to separate the units from the tenths. If a number in decimal form has non-zero digits after the decimal point then it is a decimal fraction. [There is one esoteric exception: if the decimal point is followed by an infinite string of 9s, then it is not a decimal fraction.] Thus 37.6 is a decimal fraction 0.6 is a decimal fraction 0.00000063 is a decimal fraction 37 is not a decimal fraction. 37.0 is not a decimal fraction. 37.999... recurring is no a decimal fraction [it is in fact = 38].
Third to the right of the decimal point
Use this method for converting decimal containing numbers into fractions. put 3.66/1 ( move decimal place of one to right as much as decimal place of numerator ) 366/100 (Factor) 2*183/2*50 ( eliminate the twos ) 183/50 is your answer as no further reduction possible
To write 0.103 as a fraction, you need to identify the place value of the decimal. The decimal number 0.103 is in the thousandths place. As a fraction, it can be written as 103/1000.
place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
For terminating decimals, yes - the place value of the digit farthest to the right (furthest after the decimal point) is the denominator. Don't forget to simplify the fraction (if possible).
The tenths place in a decimal fraction is the first digit after the decimal point - in this case, a zero.
Starting from a decimal fraction, a percentage is simply the decimal fraction with the decimal point moved two place to the right.If you have a rational fraction, you convert it to an equivalent fraction whose denominator is 100. Then the numerator of that equivalent fraction is the percentage.