0
Yes.
Supposing the decimal terminates after n digits following the decimal point.
Then consider the fraction whose numerator is the integer formed from the decimal by removing the decimal point. The denominator is 10n or 1 followed by n 0s. This fraction is equivalent to the terminating decimal.
Still curious? Ask our experts.
Chat with our AI personalities
Steve
Fran
JudyAdd your answer:
Earn +20 pts
Can terminating decimals be written as fractions?
Yes.
Can fractions always be written as decimals?
You can always convert a fraction to a decimal. For some fractions, you'll get terminating decimals. For example, 1/8 = 0.125. For other fractions, you get repeating decimals, such as 1/7 = 0.142857 142857 142857...To convert the fraction to a decimal, just divide the numerator by the denominator, for example on a calculator.
How can a decimal be a rational number?
Any number that can be written in fraction form is a rational number. This includes integers , terminating decimals , and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one so any integer in a rational number.
What numbers can be written as fractions?
Any terminating/rational number can be written as a fraction.
Are millimeter measurements written in fractions or decimals?
Decimals are more commonly used.
