Negative Differences

Math problems often include negative differences. Familiarity with ways of manipulating them will help to both avoid common errors and recognize equivalent expressions.

Algebra Intro 11: Dividing Fractions, Equivalent Fractions

Once a person is comfortable with multiplying fractions, dividing one fraction by another becomes fairly straightforward. Dividing Fractions An alternative to division by any number (not just a fraction) is “multiplying by the reciprocal”. Dividing by two has the same effect as multiplying by one half. Multiplying by the reciprocal of a number will always produce…… Continue reading Algebra Intro 11: Dividing Fractions, Equivalent Fractions

Algebra Intro 12: Adding and Subtracting Fractions

Once someone knows how to multiply fractions, and is comfortable creating equivalent fractions by multiplying by a fraction that equals 1, they have to tools needed to add and subtract fractions. Why Can’t I Just Add Two Fractions As Written? Consider the fraction “two thirds.” The phrase as written can be represented in two ways:…… Continue reading Algebra Intro 12: Adding and Subtracting Fractions