Simplifying Rational Expressions
Simplifying rational expressions is like reducing rational numbers. First fully factor the numerator and denominator and then cancel all the common factors. The process is illustrated step by step.
Factoring a Denominator to Add Rational Expressions
The process of working with a rational expression that contains a quadratic trinomial in the denominator is illustrated.
Multiplying Fractions: Multiplying Fractions With Numerators Other Than One
This clip explains what it calls the basic rule for multiplying fractions, which works for any number of fractions. The clip says to multiply all the numerators to get the numerator of the answer, and to do the same with all the denominators. The pr...
Multiplying Fractions: Multiplying Fractions and Canceling
This clip explains that, "
.when we multiply together two or more fractions, and the same number appears in a numerator and a denominator
we are allowed to divide through or 'cancel' in both places." The clip concludes by stating that, "
if you d...
Understanding Decimal Fractions: Converting Decimals to Fractions and Fractions to Decimals
This clip explains that, "
.changing a decimal to a fraction or a mixed number isn't much trouble," then proceeds to illustrate that statement with examples. The clip adds that the fraction may be (but doesn't have to be) reduced to the lowest term...
Dividing Fractions: Multiplying By the Reciprocal
This clip explains that dividing by any number is the same as multiplying by its reciprocal.
The Meaning of Percentage: Changing Fractions to Percents and Percents to Fractions
This clip explains that the easiest way to understand percent is to think of it as a proportion. The clip notes that this allows us to change fractions to decimals, and provides examples of how this is done. The clip then reverses the process and ex...
Renaming Fractions: Why Re-Name Fractions?
This clip explains that renaming fractions in higher terms is essential for adding, subtracting, or comparing two or more fractions. "On the other hand," the clip continues, "reducing fractions is mostly a matter of convenience."