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Fractions

How to Multiply Fractions

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The first step to multiplying fractions is understanding the difference between the numerator and the denominator. The numerator is the top number of the fraction and the bottom number is the denominator. The next step is to multiply both numerators together to get the numerator of the product and multiply both denominators to get the…

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Adding and Subtracting Fractions

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Fractions are a very important part of math, and the first step to becoming comfortable with fractions is learning how to add and subtract them. Learning how to use fractions can seem intimidating at first, but with practice, fractions will start to seem easier and easier.                  …

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Fractions: Adding, Subtracting, Multiplying, and Dividing

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                                                                                                      Interested in math tutoring…

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Back to School Review of Equality and Inequality of Fractions

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Overview The concept of dividing a whole into parts and then dividing the parts into smaller entities is basic to mathematics. That model of division can be illustrated by manipulatives such as fraction bars and Cuisenaire rods. Equality and inequality of fractions can be demonstrated by finding their common denominators and comparing them. By comparing…

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Math Review of Complex Rational Expressions

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Overview A complex rational expression contains a fraction within a fraction. In math language, it is a rational expression that has one or more rational expressions contained within the numerator, denominator, or both. It may or may not contain variables within it. The fractions in the numerator or denominator must be simplified first, before the…

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Math Review of Least Common Multiples and Denominators in Rational Expressions

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Overview Rational expressions are like fractions, and must have common denominators in order to be added or subtracted.  In order to find the smallest denominator in common, the least common multiple should be found between the denominators.  The least common multiple can also be calculated when the denominators are algebraic expressions. Least Common Multiple The…

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Math Review of Multiplying Fractions and Rates

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Overview Multiplication of fractions and rates with variables is similar to multiplying regular fractions and rates. It is important to cancel out common factors and units. The General Pattern The general pattern for multiplying fractions is to multiply the numerators and multiply the denominators to create a new fraction. In symbol form, the rule is…

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Math Review of Fractions, Decimals, and Percents

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Overview: Fractions can be converted to corresponding decimals, and both fractions and decimals can also be converted to percents.  As with many equivalent expressions in mathematics, fractions, decimals, and percents can also be converted back into their original forms. What Are Fractions? A fraction is a part of the whole so that it is in…

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Math Review of Adding and Subtracting Fractions

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Overview: Adding and subtracting fractions is similar to adding and subtracting whole numbers, with one important difference.  The denominators must be the same, so that if the fractions do not have the same denominator, they must be changed into equivalent fractions with the same denominator.  Then the general pattern of adding or subtracting fractions can…

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Math Review: Equality and Inequality of Fractions

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Overview: What Are Fractions? Fractions consist of a numerator, a, and a denominator, b, so that the fraction takes the form a/b.  The denominator is the number of equal parts in a whole, and the numerator is the number of parts considered.  For example, if a pizza is divided into 8 equal pieces, and 3 pieces…

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