Fractions whose numerator and denominator share a common factor can be simplified. See why this is the case, with multiple examples to demonstrate the process.
Algebra Intro 8: Division
The last “arithmetic” operation introduced in school is usually division. While multiplication allows us to calculate the total needed for a group when a fixed quantity is required for each person, division allows us to determine how much each person will get when a fixed quantity is divided equally among all in a group. …… Continue reading Algebra Intro 8: Division
Algebra Intro 9: Fractions, Reciprocals, and Properties of Division
Exploration of fractions as ratios, division problems, and the inverse of multiplication. What they look like, what they mean, and their lack of algebraic properties (associative, commutative).
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