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Lowest Common Multiples

Common multiples are multiples that two numbers have in common. These can be useful when working with fractions and ratios. Example: What are some common multiples of 2 and 3? Multiples of 2: 2,…

Common Factors

Factors that two numbers have in common are called the common factors of those numbers.Example:What are the common factors of 20 and 25? The factors of 20 are 1, 2, 4, 5, and 20. The…

Multiplying Fractions and Mixed Numbers

Multiplying Fractions If your friend has one-quarter of a pie, and she gives you half, how much of the pie do you have? Or, to put it another way, what's half of one-quarter? Or, to put it…

Mixed Numbers and Improper Fractions

A mixed number is a combination of a whole number and a fraction. For example, if you have two whole apples and one half apple, you could describe this as 2 + 1/2 apples, or 21/2 apples. Writing…

Dividing Fractions

If your friend has half a pie, how many quarter-pies are in that half? Or, to put this into mathematical notation:1/2 ÷ 1/4 = ? To get the answer, flip the divisor (the second fraction) over…

Reducing Fractions to Lowest Terms

Consider the following two fractions: 1/2 and 2/4 These fractions are equivalent fractions. They both represent the same amount. One half of an orange is equal to two quarters of an orange.…

Reciprocal Fractions

To find the reciprocal of a fraction, flip it over, so that the numerator becomes the denominator and the denominator becomes the numerator. That is:The reciprocal of 4/5 is 5/4 Note that…

Common Formulas

CIRCUMFERENCE Circle: C = πd, in which π is 3.1416 and d the diameter.AREA Triangle: A = (ab)/2 , in which a is the base and b the height. Square: A = a2, in which a is one of the sides.…

Mean and Median

The arithmetic mean, also called the average, of a series of quantities is obtained by finding the sum of the quantities and dividing it by the number of quantities. In the series 1, 3, 5,…

Factors and Fractions

FactorsPrime FactorsCommon FactorsLowest Common MultiplesMixed Numbers and Improper FractionsMultiplying Fractions and Mixed NumbersReciprocal FractionsDividing FractionsReducing Fractions to Lowest…