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Fractional & Decimal Equivalents

This learning track gives students practice in identifying four kinds of equivalents.  All the equivalents practiced in this learning track are listed in the sequence shown at the top of the page.  In the virtual filing cabinet you can also print out the sequence. Note that this is Learning Track 16 in the Online Tutor.

Decimals that are equivalent to common fractions

The first type of equivalents students learn are decimal numbers to a fraction.  An example is 0.667 is equivalent to the fraction 2/3.  Decimals such as 0.4 = 2/5 or 0.25 = 1/4 or 0.125 = 1/8 are practiced.  Twenty-five of these equivalents are learned.  These are the most important items and are the equivalents that get the most practice.

Fractions in decimal form (tenths and hundredths)

A second kind of equivalent is that of a fraction in decimal form, such as 66.7/100 (which is equivalent to the fraction 2/3).  Another example is 4/10 which is equivalent to 2/5.

Fractions equivalent to division problems and vice versa

The other two kinds of equivalents show the interchangeability of division problems and fractions.  The fraction 2/3 is equivalent to dividing 3 into 2.  Conversely, dividing 3 into 2 is equivalent to the fraction 2/3.   These are introduced, but because they follow a rule, these are not tested as thoroughly as the decimals equivalent to fractions.