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This pre-algebra math tutorial from NutshellMath offers introductory homework help in basic operations with fractions. The teacher offers methods and tips for performing arithmetic operations with fractions and mixed numbers. Examples in this tutorial reinforce the use of these operations with fractions and mixed numbers. Learning how to effectively manipulate fractions and mixed numbers is a key skill in algebra problem solving.


In adding and subtracting fractions, it is important to first find a common denominator, or a denominator which is the same in both fractions. To add or subtract fractions with a common denominator, simply add or subtract the numerators and keep the denominator the same.

When multiplying or dividing fractions convert the fractions into improper fractions, which are fractions with numerators larger than their denominators. For multiplication, the numerators are multiplied and the denominators are multiplied, yielding an answer. Division can be carried out by multiplying the first fraction by the reciprocal of the second. The last step in any operation; addition, subtraction, multiplication or division is to simplify the fraction and convert improper fractions to mixed numbers.

As a fundamental aspect of algebra, fractions are essential to many topics such as ratios, proportions and rational equations. Examples in this tutorial will reinforce the methods and tips presented for dealing with fractions, and help build skills needed for solving a broad range of pre-algebra and algebra problems.