Factoring before Multiplying Rational Expressions
If a rational expression is more complicated, factoring before multiplying might be indicated.
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.
Factoring Review
A review of factoring of numbers and polynomials.
Solve: 9x2 - 24x = -16
Practice solving an equation using the quadratic formula: 9x2 - 24x = -16.
Practical Problem: Finding Average Speed
Complex fractions often appear in formulas used to solve problems. A practical problem involving the rate, time, and distance formula illustrates working with complex fractions.
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...
Adding Rational Expressions with Different Denominators
Rational expressions with different denominators are added and the procedure explained.
Adding and Subtracting Rational Expressions
The rules for adding and subtracting rational expressions are similar to those for adding and subtracting rational numbers, beginning with the rule that in order to be added, rational numbers must have the same denominator. Addition examples are dem...
Denominator of a Simplified Expression Never Has Radicals, The
A guideline is presented: a simplified radical expression never has radicals in the denominator. An expression with a radical in the denominator, but not in the numerator, is simplified using the identity property of multiplication and the process o...