Repeating Decimal — Definition & Examples
Read this topicExplanations 3
- Converting Repeating Decimals to Fractions As with converting a non-repeating (i.e., "normal") decimal to a fraction, there are a few simple steps to follow to convert repeating…
By Hannah Bonville, Alex Federspiel, Jonathan Heller, Caroline K
- Repeating Decimals We have learned about decimals (or decimal numbers) in general, but what about repeating decimals? Repeating decimals are those which go on forever but have a…
By Caroline K, Alex Federspiel, Joshua Siktar
- (Video) Converting Repeating Decimals to Fractions by Art of Problem Solving Here's a video by the Art of Problem Solving where he teaches you how to turn a repeating decimal in…
By Alex Federspiel, Joshua Siktar
Problems 22
- Convert the following fraction into a decimal. 53\frac{5}{3}35
- Either add then convert to decimal, or convert both fractions to decimal and then add. 34+26\frac{3}{4}+\frac{2}{6}43+62
- Either subtract then convert to decimal, or convert both fractions to decimals and then subtract. 72 −53\frac{7}{2}\ -\frac{5}{3}27 −35
- Convert the following repeating decimal into fraction form. 0.83‾0.8\overline{3}0.83
- Convert the following repeating decimal into fraction form. 0.09‾0.\overline{09}0.09
- Convert the following repeating decimal into fraction form. 0.142857‾0.\overline{142857}0.142857
- Convert the decimal into a fraction. 0.0714285‾0.0\overline{714285}0.0714285
- Convert the decimal into a fraction. 1.307692‾1.\overline{307692}1.307692
- Convert the decimal into a fraction. 0.3‾0.\overline{3}0.3
- Convert the decimal into a fraction. 0.1‾0.\overline{1}0.1
- Convert the repeating decimal 0.36‾0.\overline{36}0.36 into a fraction in simplest form, without spaces.
- Convert the repeating decimal 0.0017‾0.00\overline{17}0.0017 into a fraction in simplest form, without spaces or commas.
- Convert the repeated decimal 1.12‾1.1\overline{2}1.12 into a fraction in simplest form, without spaces.
- Given that 127=0.037‾\frac1{27} = 0.\overline{037}271=0.037, compute 137\frac1{37}371 to nine digits after the decimal point, without spaces.
- Convert 0.672‾0.6\overline{72}0.672 into a fraction in simplest form, without spaces.
- Write 1.27127127127…1.27127127127\dots1.27127127127… as a fraction in simplest terms, without spaces or commas.
- Which is the fractional equivalent of the following equation? 0.3‾+0.16‾=0.50.\overline{3}+0.1\overline{6}=0.50.3+0.16=0.5
- What is 0.16‾0.1\overline{6}0.16 written as a fraction?
- What is 0.3‾0.\overline{3}0.3 written as a fraction?
- What is the equation 0.1‾+0.3‾=0.4‾0.\overline{1}+0.\overline{3}=0.\overline{4}0.1+0.3=0.4 written in terms of fractions?
- Find the hidden periodic sequence in 157\frac{15}{7}715. What is the period?
- Convert 0.9‾0.\overline{9}0.9 to a fraction or a whole number.