Decimal to Fraction
Part of the Decimals, Percents & Ratios section of Coddy's Pre-Algebra journey. Lesson 22 of 56.
A decimal already is a fraction; you just have to read it aloud. 0.24 is twenty-four hundredths, because its last digit sits in the hundredths place. So 0.24 is 24/100. The last digit's place names the bottom: tenths give 10, hundredths give 100, thousandths give 1000.
Then simplify, as you did in the fractions section: divide the top and the bottom by their greatest common factor. 24 and 100 share a factor of 4, so 24/100 becomes 6/25. 6 and 25 share no factor except 1, so the fraction is in lowest terms.
Why bother simplifying? 6/25 and 24/100 are the same number, but the lowest form is the one people expect to read, and the board finishes a fraction task only in lowest terms. It is also the easiest to picture: 6 parts out of 25.
Challenge
Write 0.35 as a fraction in lowest terms. First write it over the right power of ten, then simplify on the next line.
Try it yourself
Simplify the expression
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Decimals, Percents & Ratios
4Dividing Decimals
Dividing by a DecimalDividing by 10 and 100Dividing by a Whole NumberUnit PriceRecap: Dividing2Adding Decimals
Adding DecimalsSubtracting DecimalsNegative DecimalsMaking ChangeRecap: Add and Subtract5Fractions and Decimals
Fraction to DecimalDecimal to FractionRepeating DecimalsOrdering Both KindsRecap: Fractions and Decimals