The decimal 0.5 is expressed as the fraction one-half. This is found by evaluating the decimal over 1, multiplying the fraction by 10 and then simplifying.
To change a decimal into a fraction, the decimal is placed over 1. Then, both the numerator and denominator are multiplied by a factor of 10 depending on how many digits are after the decimal point.
In the case of 0.5, there is one digit after the decimal, so it is only necessary to multiply by 10. When the numerator and denominator of the fraction 0.5/1 are multiplied by 10, it gives the fraction 5/10, which can be simplified. The number 5 goes into 10 twice. Dividing the numerator and denominator by 5 gives one-half.
The same result is given by reading 0.5 as 5/10, since the five is in the 10's place. This is written as 5/10, which simplifies to one-half.Learn More
Two-thirds expressed as a decimal is 0.6, with a line over or under the six, indicating that the six repeats indefinitely, or as 0.666, which is accurate to three decimals. To convert a fraction to a decimal, divide the numerator, the top number, by the denominator, the bottom number.Full Answer >
To calculate percentage, divide the number that is to be expressed as a percentage by the total or whole. The resulting number is then multiplied by 100 to obtain the percentage.Full Answer >
The mixed number 66 and two-thirds is 200 over 3, or 200/3, as a fraction. To convert a mixed number into a fraction, manipulate the whole number so that it shares a common denominator with the fractional component, and then add the two together.Full Answer >
One method to manually convert a fraction to a decimal is to multiply the denominator, the bottom number, by a number that will make the denominator a factor of 10. Then multiply the numerator, the top number, by the same number used on the denominator. Rewrite the fraction as a decimal using place values.Full Answer >