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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 1: Q. 747 (page 161)

Simplify-
$\frac{3}{8} g + \frac{1}{12} h + \frac{7}{8} g + \frac{5}{12} h$

Short Answer

Expert verified

Required value is,

$\frac{3}{8} g + \frac{1}{12} h + \frac{7}{8} g + \frac{5}{12} h = \frac{5}{4} g + \frac{1}{2} h$

Step by step solution

01

Step 1. Given information

Given expression,

$\frac{3}{8} g + \frac{1}{12} h + \frac{7}{8} g + \frac{5}{12} h$

We know,

Commutative property, $a + b = b + a$

02

Step 2. Calculation

Solving the expression,

$\frac{3}{8} g + \frac{1}{12} h + \frac{7}{8} g + \frac{5}{12} h = \frac{3}{8} g + \frac{7}{8} g + \frac{1}{12} h + \frac{5}{12} h$ -----------(commutative property)

$= \frac{3 + 7}{8} g + \frac{1 + 5}{12} h$

$= \frac{10}{8} g + \frac{6}{12} h = \frac{5}{4} g + \frac{1}{2} h$

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Most popular questions from this chapter

Simplify using the order of operations.

$a) 2 + 6 脳 3 b) (2 + 6) 脳 3$

Translation from Algebra to English.

$17 < 35$

In the following exercise, multiply: $13 (- 5)$

Simplify:

$a) 7^{2} b) 0^{5} .$

In the following exercise, simplify the expression: ${(- 3)}^{2} - 24 梅 (8 - 2)$

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