Chapter 11.1, Problem 28WE

To determine

The number one-fourth of way between given numbers.

Answer to Problem 28WE

The required one-fourth way is $\frac{3}{4}$ .

Explanation of Solution

Given:

  $\frac{5}{8}\text{to}1\frac{1}{4}$

Calculation:

By using dignity property,

One fourth way between a and b is,

  $a+\frac{1}{4}\left(b-a\right)$

Now,

Here,

  $a=\frac{5}{8},b=\frac{5}{4}$

So,

  $\begin{array}{l}=\frac{5}{8}+\frac{1}{4}\left(\frac{5}{4}-\frac{5}{8}\right)\\ =\frac{5}{8}+\frac{1}{4}\left(\frac{10}{8}-\frac{5}{8}\right)\\ =\frac{5}{8}+\frac{1}{4}\left(\frac{5}{8}\right)\\ =\frac{5}{8}+\frac{5}{40}\\ =\frac{25+5}{40}\\ =\frac{30}{40}\\ =\frac{3}{4}\end{array}$

Therefore,

The required one-fourth way is $\frac{3}{4}$ .