How to Convert Decimals with Single Repeating Numbers Into Fractions
Learn how to convert this kind of decimal into a fraction.
Jason Marshall, PhD
Any decimal that has a single repeating number beginning immediately after the decimal point is equal to the fraction that has the number doing the repeating in its numerator and 9 in its denominator. For example, the repeating decimal 0.4444… is equal to the fraction that has 4 (the number doing the repeating) in its numerator, and the number 9 in its denominator. Which means that 0.4444… = 4/9.
For more, see How To Convert Repeating Decimals to Fractions, Part 1
Math image courtesy of Shutterstock
About the Author
Jason Marshall is the author of The Math Dude’s Quick and Dirty Guide to Algebra. He provides clear explanations of math terms and principles, and his simple tricks for solving basic algebra problems will have even the most math-phobic person looking forward to working out whatever math problem comes their way.