Chapter 6.1, Problem 4E

To determine

The given ratio is in the simplest form or not.

The given ratio in the simplest form.

The simplest form of the given ratio in two other ways.

Answer to Problem 4E

The ratio $\text{7 to 26}$ is in the simplest form.

Two more ways to write the ratio are:

  $\frac{7}{26}$ $\text{and 7:26}$ .

Explanation of Solution

Given information :

Consider the ratio given in the question:

  $\text{7 to 26}$

Calculation :

As per the given problem,

Consider the ratio:

  $\text{7 to 26}$

  $\begin{array}{l}\text{The factors of 7 are 1,7 and }\\ \text{The factors of 26 are 1,2,13,26}\text{.}\\ \text{GCF of 7 and 26 is 1, that is, both the numbers have only 1 as a common factor}\end{array}$

Hence,

The ratio $\text{7 to 26}$ is in the simplest form.

Now, two more ways to write the ratio are:

  $\frac{7}{26}$ $\text{and 7:26}$ .