Decimal Fraction Equivalents
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More Lessons for SAT Math
Math Worksheets
Examples, solutions, videos, games, activities, and worksheets to help SAT students review decimals and fractions and their equivalents.
Fraction and decimal equivalents are different ways of representing the same value. Fractions express a part of a whole as a ratio of two integers (e.g., 1/2), while decimals express the same value in base-10 notation (e.g., 0.5). Understanding how to convert between fractions and decimals is essential in math.
Converting Fractions to Decimals
To convert a fraction to a decimal, divide the numerator by the denominator.
Converting Decimals to Fractions
To convert a decimal to a fraction:
Write the decimal as a fraction with the denominator as a power of 10 (e.g., 10, 100, 1000).
Simplify the fraction to its lowest terms.
Common Fraction and Decimal Equivalents
The following diagram gives some common fraction and decimals equivalents. Scroll down the page for examples and explanations on how to convert repeating decimals to fractions.
Fraction Worksheets
Practice your skills with the following fraction worksheets:
Fraction Worksheets
What are the decimal equivalent of fractions that you will need to know for the SAT?
How to Convert a Recurring Decimal Into a Fraction?
When allowed, you can use a calculator to convert between decimals and fractions. However, for the SAT, the College Board recommends that you know the decimal equivalent of the following fractions:
| Fraction |  |
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| Decimal |  |
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The bar notation indicates that the 3 and the 6 repeat infinitely, ie: 
= 0.33333 …
Converting Between Fractions and Decimals
Fractions to Decimals and Decimals to Fractions
Converting Repeating Decimal Numbers to Fractions
Decimal numbers with an infinitely repeating sequence of digits after the decimal point can be converted into fractions. This chapter explains why.
Math Lessons & Study Tips : How to Convert a Recurring Decimal Into a Fraction
In order to convert a recurring decimal into a fraction, understand that 1/3 is equal to .333 repeating. Find out how to use a bar to denote a recurring decimal.
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