Question

Evaluate the expression using properties of numbers. Name the property used in each step.

Answer 1

The properties are listed in the following order:

1. Given
2. Conversion from mixed numbers into rational numbers / Associative property
3. Addition of fractions with different denominators
4. Mutiplication of fractions
5. Associative property / Existence of multiplicative inverse / Modulative property / Definition of division

How to simplify a product of rational numbers

Herein we are in front of a product of three rational 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

To learn more on fractions: brainly.com/question/10354322

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