The properties are listed in the following order:
- <em>Given</em>
- <em>Conversion from mixed numbers into rational numbers / Associative property</em>
- <em>Addition of fractions with different denominators</em>
- <em>Mutiplication of fractions</em>
- <em>Associative property / Existence of multiplicative inverse / Modulative property / Definition of division</em>
<h3>How to simplify a product of rational numbers</h3>
Herein we are in front of a product of three <em>rational</em> numbers, that is, numbers of the form m / n, where m, n are integers and n ≠ 0. We need to apply definition and theorems from algebra to simplify a given number, whose procedure is shown in detail:
(2 3 / 4) · (1 1 / 8) · 32 Given
(2 + 3 / 4) · (1 + 1 / 8) · 32 Conversion from mixed numbers into rational numbers
(11 / 4) · (9 / 8) · 32 Addition of fractions with different denominators
(99 / 32) · 32 Mutiplication of fractions
99 Associative property / Existence of multiplicative inverse / Modulative property / Definition of division / Result
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