Chapter SH, Problem 3RAP

Solution

To write the ratio $38g\text{}\text{ in }4\text{oz}$ in simplest form.

  $19g\text{}\text{ in }2\text{oz}$

Given:

The ratio, $38g\text{}\text{ in }4\text{oz}$ .

Concept Used:

The ratio of two numbers is obtained by dividing the first number by the second number.

Calculation:

In order to write the ratio $38g\text{}\text{ in }4\text{oz}$ into simplest form, divide the first number by the second number and reduce the fraction in simplest form by cancelling out the common factors from both numbers as shown below

  $\begin{array}{c}38g\text{}\text{ in }4\text{oz}=\frac{38g}{4\text{oz}}\\ =\frac{2\cdot 19g}{2\cdot 2\text{oz}}\\ =\frac{19g}{2\text{oz}}\\ =19g\text{}\text{ in }2\text{oz}\end{array}$

Thus, the give ratio in simplified form can be expressed as $19g\text{}\text{ in }2\text{oz}$ .