In this lesson you will learn how to convert repeating decimals into fractions. Decimal fractions terminating decimals and repeating decimals motivation explain the meaning of the values stated in the following sentence the gas can has a. 28 writing fractions as decimals write the fraction as a decimal is it terminating or repeating a 3 — 8 0375 8 )‾ 3000 − 2 4 60 − 56 40 − 40 0 the division terminates so, 3 — 8 = 0375 is a terminating decimal b 2 — 3 0666 3 )‾ 2000 − 1 8 20 − 18 20 − 18 2 the division does not end so, 2 — 3 = 0666 is a repeating decimal 1. A repeating decimal is a decimal that has a repeating pattern a simple example is 033333 where the means continue like this many fractions, when expressed. Fractions and decimals worksheets, lessons, and printables: understanding decimals tenths write repeating decimals as fractions (includes instructions. Lesson 10: converting repeating decimals to fractions 125 converting repeating decimals to fractions why might we want to write an infinite decimal as a.
Review converting repeating decimals to fractions, and then try some practice problems. Mathematics assessment project translating between repeating decimals and fractions you review their work and write questions for students to answer in order. In this lesson students will gain an understanding of how repeating decimals are converted into a ratio in the form of by rational number, repeating decimal. Learn what repeating decimal numbers are and how to convert simple repeating decimals from decimal to fractional form.
Converting decimals to fractions: part b in part a of this lesson, we saw how to convert a terminating decimal number to a fraction if a decimal is repeating. Writing fractions as decimals write each as a decimal write each as a decimal use repeating decimals wh en necessary 17) 2 9 18) 2 11 19) 1 3 20) 1 101. Decimals, and fractions you can write any decimal number as a decimal fraction by first translating into the quotient is a non-terminating repeating decimal.
Converting from decimals to fractions 47 convert 0395 to a fraction and write the result in lowest terms note repeating decimals can. Convert decimals to fractions to convert a decimal to a fraction follow these steps: step 1: write down the (in other words 3s repeating forever which is. Clearly all fractions are of that form, so fractions are rational numbers another example of writing a repeating decimal as a fraction.