Chapter 7, Problem 302RE

1. Rational and Irrational Numbers

In the following exercises, write as the ratio of two integers

302. 6

To determine

The given number as a ratio of two integers.

Answer to Problem 302RE

Given Number	Example 1	Example 2
$6$	$\frac{12}{2}$	$\frac{-18}{-3}$

Explanation of Solution

Given information:

The number $6$

Concept Involved:

A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). It can be written as a fraction in which the top number (numerator) is divided by the bottom number (denominator).

An integer is a number that has no fractional part and no digits after the decimal point. An integer can be positive, negative or zero.

Calculation:

Steps		Description
$6=\frac{6}{1}$		Rewrite the given whole number as a fraction by dividing the number by 1
$\frac{6\times 2}{1\times 2}=\frac{12}{2}$	$\frac{6\times -3}{1\times -3}=\frac{-18}{-3}$	Multiply any integer with top and bottom of the fraction to get a rational number equivalent to the given number
$\boxed{6=\frac{12}{2}}$	$\boxed{6=\frac{-18}{-3}}$	The given number written as a ratio of two integers.

.

Conclusion:

The given number $6$ written as a ratio of two integers is given by: $\boxed{6=\frac{12}{2}}$ & $\boxed{6=\frac{-18}{-3}}$