Multiplying and Dividing Fractions Chapter 1 / Whole Numbers and Introduction to Algebra Section 4.3 Multiplying and Dividing Fractions

Multiplying Fractions Chapter 1 / Whole Numbers and Introduction to Algebra Multiplying Fractions of is 1 The word “of” means multiplication and “is” means equal to. Martin-Gay, Prealgebra, 5ed

Martin-Gay, Prealgebra, 5ed of is means Martin-Gay, Prealgebra, 5ed

Multiplying Two Fractions Chapter 1 / Whole Numbers and Introduction to Algebra Multiplying Two Fractions If a, b, c, and d are numbers and b and d are not 0, then In other words, to multiply two fractions, multiply the numerators and multiply the denominators. Martin-Gay, Prealgebra, 5ed

Chapter 1 / Whole Numbers and Introduction to Algebra Examples If the numerators have common factors with the denominators, divide out common factors before multiplying. 1 or 2 Martin-Gay, Prealgebra, 5ed

Chapter 1 / Whole Numbers and Introduction to Algebra Examples or 2 1 Martin-Gay, Prealgebra, 5ed

Chapter 1 / Whole Numbers and Introduction to Algebra Helpful Hint Recall that when the denominator of a fraction contains a variable, such as we assume that the variable is not 0. Martin-Gay, Prealgebra, 5ed

Evaluating Expressions with Fractional Bases Chapter 1 / Whole Numbers and Introduction to Algebra Evaluating Expressions with Fractional Bases The base of an exponential expression can also be a fraction. Martin-Gay, Prealgebra, 5ed

Reciprocal of a Fraction Chapter 1 / Whole Numbers and Introduction to Algebra Reciprocal of a Fraction Two numbers are reciprocals of each other if their product is 1. The reciprocal of the fraction is because Martin-Gay, Prealgebra, 5ed

Dividing Two Fractions Chapter 1 / Whole Numbers and Introduction to Algebra Dividing Two Fractions If b, c, and d are not 0, then In other words, to divide fractions, multiply the first fraction by the reciprocal of the second fraction. Martin-Gay, Prealgebra, 5ed

Chapter 1 / Whole Numbers and Introduction to Algebra Helpful Hint Every number has a reciprocal except 0. The number 0 has no reciprocal. Why? There is no number that when multiplied by 0 gives the result 1. Martin-Gay, Prealgebra, 5ed

Chapter 1 / Whole Numbers and Introduction to Algebra Helpful Hint When dividing by a fraction, do not look for common factors to divide out until you rewrite the division as multiplication. Do not try to divide out these two 2s. Martin-Gay, Prealgebra, 5ed

Multiplying and Dividing with Fractional Replacement Values Chapter 1 / Whole Numbers and Introduction to Algebra Multiplying and Dividing with Fractional Replacement Values If x = and y = , evaluate . Replace x with and y with . Martin-Gay, Prealgebra, 5ed