The Number System Unit Test

Math 8 Q1 (Pre-Algebra) / The Number System

Which of the following is a rational number between 5 and 5 1/4?(1 point)

A rational number between 5 and 5 1/4 is 5 1/8.

To find a rational number between 5 and 5 1/4, we need to look for a number that lies between these two values.

First, let's convert 5 1/4 to an improper fraction:
5 1/4 = (5 * 4 + 1)/4 = 21/4

Now, let's find a rational number between 5 (which can be written as 5/1) and 21/4.

We can take the average of these two fractions:
(5/1 + 21/4) / 2 = (20/4 + 21/4) / 2 = 41/4 / 2 = 41/8

Therefore, a rational number between 5 and 5 1/4 is 41/8.