Chapter 5.CT, Problem 1CT

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# Reduce to its simplest form:a) The ratio 12 : 20 b) The rate 200   m i l e s 8   g a l l o n s

To determine

a)

To simplify:

The ratio 12:20.

Solution:

3:5

Explanation

Ratio:

A ratio is the quotient ab (where b0) that provides comparison between the numbers a and b.

The ratio sometimes written as a:b.

The numbers a and b are often called term of the ratio.

Calculation:

Given ratio, 12:20

1220=35

1220=3:5

Final statement:

The simplest form of 12:20 is 3:5.

To determine

b)

To simplify:

The rate 200 miles8 gallons.

Solution:

25 miles per gallon

Explanation

Rate:

A rate is a quotient that relates two quantities that are incommensurable.

Given, 200 miles8 gallons

2008=25

Therefore, 25 miles per gallon.

Final statement:

The rate of 200 miles8 gallons is 25 miles per gallon.

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