Since the greatest common divisor of the numerator and the denominator equals `5`, we can write that `(45)/(100)=(9*color(red)(5))/(20*color(red)(5))=(9)/(20)` Now, using the equivalence of fractions, we can write that Since the decimal part contains 2 digits (to the right of the decimal point), we need to multiply our number by `10^(2)=100` to obtain an integer. Recall that every number can be represented as a fraction with a denominator that equals `1`.
So, we ignore the integer part and work with the decimal part `0.45`.
FRACTION CONVERTER FREE
Our decimal consists of the integer part `1` and the decimal part `0.45`. This is a free calculator for adding, subtracting, multiplying, and dividing two fractions and/or mixed numbers. Mixed numbers and decimals are very similar: if they represent the same number, their integer parts are equal, and what we want is to convert the decimal part of the decimal into the fractional part of the mixed number.
Also, a decimal consists of an integer and a decimal parts. Recall that every mixed number/fraction consists of an integer part and a proper fraction. When the equivalent fraction cannot be calculated, the error "Sorry, overflow error" will be displayed.Your input: convert `1.45` into fraction. Shows the steps to convert a decimal number to its equivalent fraction. Very big numbers or numbers with many digits after the floating point may not be converted here. The result of the conversion is therefore (5/2)+(1/30)=38/15Īll fractions are reduced as soon as possible to simplify the subsequent operations. Each element is converted separately, the non repeating portion is converted as explained above, while the fraction for the repeating portion is obtained by dividing the repeating figures by a number of 9's equal to the length of the sequence, followed by a number of '0's equal to the the number of 0's between the dot and the repeating digits.įor example the number 2.5333. When the number has infinitely repeating decimals, then the fraction is obtained by breaking the number into a sum of the non-repeating portion and the repeating portion. The resulting number is then shown divided by the same power of 10 to represent the original number as a fraction. This is because the number is multiplied by a power of 10 such that the decimal point is removed. To convert a decimal to a fraction, follow these steps: Determine the denominator by counting the number of digits to the right of the decimal point. When the number has no repeating decimal portion, the numerator of the equivalent fraction is obtained by removing the dot from the number, and the denominator is '1' followed by the same number of 0's as the length of the decimal portion.įor example the number 12.4 is equal to 124 divided by 10, so the equivalent fraction is 124/10, which, when simplified, becomes 62/5.
FRACTION CONVERTER HOW TO
How to convert a decimal number to it's equivalent fraction See the following table for examples: Type of number You may also convert to fractions numbers with infinitely repeating digits by enclosing the repeating digits in parenthesis or by adding '.' at the end of the number. You may enter simple rational numbers with the whole portion separated from the decimal portion by a decimal point (ex. This calculator allows you to convert real numbers, including repeating decimals, into fractions.Įnter a decimal number in the space above, then press Convert to Fraction to send the number and calculate the equivalent fraction. How to use the decimal to fraction calculator.
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