HEALTH
Addition and Subtraction of Rational Expressions
Find the LCD ( Least Common Denominator)
Divide the LCD on the denominator and then multiply the quotient on the numerator.
Simplify
Examples:
LCD = 6a
LCD =
Rational Functions
Rational Functions – any function which can be defined by a rational fraction.
Domain – makes f(x) defined and real.
Examples:
Domain: D={x/x ≠ 3}
Evaluate the function: and
= = or
= = or 1
Multiplication of Rational Expressions
Multiply rational expressions in the same way as you multiply fractions of rational numbers.
Factor everything that can be factored.
Cancel (bottom with top or top with bottom).
Multiply tops (numerators) and bottoms (denominators).
Examples:
=
= = =
=
= =
Division of Rational Expressions
Reciprocal the divisor.
Proceed to multiplication.
Factor everything that can be factored.
Cancel (bottom with top or top with bottom).
Multiply tops (numerators) and bottoms (denominators).
Examples:
=
Rational Equations
Equation in which one or more of the terms is a fractional one.
Get the LCD. (Least Common Denominator)
Multiply each side by the LCD.
Transpose
Simplify
Example:
LCD = x+3
Math Project
Esguerra, Regina Dianne M.
JHS 9 –Potassium
Addition and Subtraction of Rational Expressions
Find the LCD ( Least Common Denominator)
Divide the LCD on the denominator and then multiply the quotient on the numerator.
Simplify
Examples:
LCD = 6a
LCD =
Rational Functions
Rational Functions – any function which can be defined by a rational fraction.
Domain – makes f(x) defined and real.
Examples:
Domain: D={x/x ≠ 3}
Evaluate the function: and
= = or
= = or 1
Multiplication of Rational Expressions
Multiply rational expressions
Find the LCD ( Least Common Denominator)
Divide the LCD on the denominator and then multiply the quotient on the numerator.
Simplify
Examples:
LCD = 6a
LCD =
Rational Functions
Rational Functions – any function which can be defined by a rational fraction.
Domain – makes f(x) defined and real.
Examples:
Domain: D={x/x ≠ 3}
Evaluate the function: and
= = or
= = or 1
Multiplication of Rational Expressions
Multiply rational expressions in the same way as you multiply fractions of rational numbers.
Factor everything that can be factored.
Cancel (bottom with top or top with bottom).
Multiply tops (numerators) and bottoms (denominators).
Examples:
=
= = =
=
= =
Division of Rational Expressions
Reciprocal the divisor.
Proceed to multiplication.
Factor everything that can be factored.
Cancel (bottom with top or top with bottom).
Multiply tops (numerators) and bottoms (denominators).
Examples:
=
Rational Equations
Equation in which one or more of the terms is a fractional one.
Get the LCD. (Least Common Denominator)
Multiply each side by the LCD.
Transpose
Simplify
Example:
LCD = x+3
Math Project
Esguerra, Regina Dianne M.
JHS 9 –Potassium
Addition and Subtraction of Rational Expressions
Find the LCD ( Least Common Denominator)
Divide the LCD on the denominator and then multiply the quotient on the numerator.
Simplify
Examples:
LCD = 6a
LCD =
Rational Functions
Rational Functions – any function which can be defined by a rational fraction.
Domain – makes f(x) defined and real.
Examples:
Domain: D={x/x ≠ 3}
Evaluate the function: and
= = or
= = or 1
Multiplication of Rational Expressions
Multiply rational expressions