Chapter 0.4, Problem 1E

To determine

To fill: The blank in the statement “ $\frac{-5}{8}\boxed{}\frac{3}{8}$ ” by $<,>\text{ or }=$ to make it a true statement.

Answer to Problem 1E

The correct statement is $\frac{-5}{8}\boxed{<}\frac{3}{8}$ .

Explanation of Solution

Given information:

The statement “ $\frac{-5}{8}\boxed{}\frac{3}{8}$ .”

Consider the provided statement “ $\frac{-5}{8}\boxed{}\frac{3}{8}$ .”

When fractions are compared if the denominator is same then fraction with greater numerator is the bigger number.

In the above expression, 8 as a denominator is same in both the fractions.

Since, $-5<3$ when integers are compared.

Thus, the correct statement is $\frac{-5}{8}\boxed{<}\frac{3}{8}$ .