Mathematics for Machine Technology
Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Textbook Question
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Chapter 17, Problem 1AR

Express each of the following fractions as equivalent fractions as indicated.
a. 3 8 = ? 32
b. 7 10 = ? 100
c. 1 4 = ? 64
d. 9 16 = ? 128

Expert Solution
Check Mark
To determine

(a)

To express indicated fractions as equivalent fraction.

Answer to Problem 1AR

  1232

Explanation of Solution

Given information:

A fractional equation is given as 38=?32.

Calculation:

We have been given a fractional equation as 38=?32.

Let us suppose

  38=x32Applying cross multiplication,3×32=x×8x=3×328x=3×8×48x=12

Hence, equivalent fraction will be x32=1232.

Expert Solution
Check Mark
To determine

(b)

To find equivalent fraction of indicated fraction.

Answer to Problem 1AR

  70100

Explanation of Solution

Given information:

A fractional equation is given as 710=?100.

Calculation:

We have been given a fractional equation as 710=?100.

Let us suppose

  710=x100Applying cross multiplication,7×100=x×10x=7×10010x=7× 10×10 10x=70

Hence, equivalent fraction will be x100=70100.

Expert Solution
Check Mark
To determine

(c)

To evaluate equivalent fraction of indicated fraction.

Answer to Problem 1AR

  1664

Explanation of Solution

Given information:

A fractional equation is given as 14=?64.

Calculation:

We have been given a fractional equation as 14=?64.

Let us suppose

  14=x64Applying cross multiplication,1×64=x×4x=1×644x=4×164x=16

Hence, equivalent fraction will be x64=1664.

Expert Solution
Check Mark
To determine

(d)

To find equivalent fraction of indicated fraction.

Answer to Problem 1AR

  72128

Explanation of Solution

Given information:

A fractional equation is given as 916=?128.

Calculation:

We have been given a fractional equation as 916=?128.

Let us suppose

  916=x128Applying cross multiplication,9×128=x×16x=9×12816x=9× 16×8 16x=72

Hence, equivalent fraction will be x128=72128.

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