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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q. 224 (page 54)

Simplify $8 (\frac{15}{16} - \frac{5}{6})$

Short Answer

Expert verified

On simplifying the given expression, we get

$8 (\frac{15}{16} 鈭� \frac{5}{6}) = \frac{5}{6}$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ 8 (\frac{15}{16} 鈭� \frac{5}{6}) \\ Wehavetosimplifythegivenexpression. \end{array}$

02

Step 2. Solve the bracket

$\begin{array}{l} 鈬� 8 (\frac{15}{16} 鈭� \frac{5}{6}) = 8 (\frac{15 脳 6 鈭� 5 脳 16}{16 脳 6}) \\ 鈬� 8 (\frac{15}{16} 鈭� \frac{5}{6}) = 8 (\frac{90 鈭� 80}{96}) \\ 鈬� 8 (\frac{15}{16} 鈭� \frac{5}{6}) = 8 (\frac{10}{96}) \end{array}$

03

Step 3. Multiply the terms and simplify

$\begin{array}{l} 鈬� 8 (\frac{15}{16} 鈭� \frac{5}{6}) = 8 (\frac{10}{96}) \\ 鈬� 8 (\frac{15}{16} 鈭� \frac{5}{6}) = \frac{8 脳 2 脳 5}{2 脳 8 脳 6} \\ 鈬� 8 (\frac{15}{16} 鈭� \frac{5}{6}) = \frac{5}{6} \end{array}$

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Most popular questions from this chapter

Fill in $<$ , $>$ or $=$ for each of the following pairs of numbers:

(a) localid="1644070592762" $- 9__- |- 9|$

(b) localid="1644070601216" $2__- |- 2|$

(c)localid="1644070617682" $- 8__|- 8|$

(d)localid="1644070630416" $- (- 9)__|- 9|$

In the following exercises, simplify.

$|15 - 7| 鈭� |14 - 6|$

Translate the English phrase into an algebraic expression:
(a) The difference of two times x and 8.
(b) Two time the difference of x and 8.

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.

28, 40

Simplify the following expression by combining like terms.

$12 y + 7 + 2 y - 5$

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