Algebra Tutorials! Monday 29th of November Home Scientific Notation Notation and Symbols Linear Equations and Inequalities in One Variable Graphing Equations in Three Variables What the Standard Form of a Quadratic can tell you about the graph Simplifying Radical Expressions Containing One Term Adding and Subtracting Fractions Multiplying Radical Expressions Adding and Subtracting Fractions Multiplying and Dividing With Square Roots Graphing Linear Inequalities Absolute Value Function Real Numbers and the Real Line Monomial Factors Raising an Exponential Expression to a Power Rational Exponents Multiplying Two Fractions Whose Numerators Are Both 1 Multiplying Rational Expressions Building Up the Denominator Adding and Subtracting Decimals Solving Quadratic Equations Scientific Notation Like Radical Terms Graphing Parabolas Subtracting Reverses Solving Linear Equations Dividing Rational Expressions Complex Numbers Solving Linear Inequalities Working with Fractions Graphing Linear Equations Simplifying Expressions That Contain Negative Exponents Rationalizing the Denominator Decimals Estimating Sums and Differences of Mixed Numbers Algebraic Fractions Simplifying Rational Expressions Linear Equations Dividing Complex Numbers Simplifying Square Roots That Contain Variables Simplifying Radicals Involving Variables Compound Inequalities Factoring Special Quadratic Polynomials Simplifying Complex Fractions Rules for Exponents Finding Logarithms Multiplying Polynomials Using Coordinates to Find Slope Variables and Expressions Dividing Radicals Using Proportions and Cross Solving Equations with Radicals and Exponents Natural Logs The Addition Method Equations
Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

Now we can apply these concepts to working with fractions.

To add or subtract fractions with the same denominator (bottom), simply add or subtract the numerators (top).

Example: Example: To add or subtract fractions with different denominators (bottom), we must change the fractions so the denominators match. You can use any matching denominator, but finding the denominator with the least common multiple gives you the simplest arithmetic.

Example: Step 1:

First we must change the fractions so they have the same denominator.

We start by finding the least common multiple of the numbers 6 and 9:

Multiples of 9 are 9, 18, 27, 36 ....

Multiples of 6 are 6, 12, 18, 24, 30 ....

The least common multiple is therefore 18.

Step 2:

Change the fractions by multiplying the numerator and denominator by the factor which will make the denominator l8:

For the first fraction For the second fraction Step 3:

Now we can add the two fractions: Step 4:

We always reduce our fractions, and notice both 21 and 18 are divisible by 3. (The greatest common factor is three.) The answer to the above example, 7/6, is called an improper fraction, because the numerator is larger then the denominator. We convert this into a mixed number, which is a number that contains a whole number. Do this by dividing 7 by 6 and showing the remainder as a fraction.

Example: is the same as 7 divided by 6.

6 goes into 7 once with remainder 1.

The mixed number is , which is written as 