There are rational numbers [tex]$\frac{5}{7}$[/tex] and [tex]$\frac{6}{7}$[/tex]
Answer (1)
Find the difference between the two rational numbers: 7 6 − 7 5 .
Subtract the numerators since the denominators are the same: 7 6 − 5 = 7 1 .
The difference between the two rational numbers is 7 1 .
Explanation
Problem Analysis The problem presents two rational numbers, 7 5 and 7 6 , but does not specify what to do with them. Without a clear objective, we can only speculate on possible tasks. Let's consider a few options: finding the difference between the numbers, finding their average, or comparing them.
Finding the Difference Let's find the difference between the two numbers: 7 6 − 7 5 = 7 6 − 5 = 7 1 .
Finding the Average Let's find the average of the two numbers: 2 7 5 + 7 6 = 2 7 11 = 7 11 × 2 1 = 14 11 .
Comparing the Numbers Comparing the two numbers, we see that 7 5 < 7 6 since they have the same denominator and 5 < 6 .
Final Answer Since the problem does not specify what to do, let's arbitrarily choose to find the difference. The difference between the two rational numbers is 7 1 .
Examples
Rational numbers are used in everyday life, such as when calculating fractions of ingredients in a recipe or determining proportions in measurements. For example, if you need to use 7 5 of a cup of flour and 7 6 of a cup of sugar, understanding rational numbers helps you measure the correct amounts. Adding or subtracting these fractions allows you to adjust recipes or compare quantities easily. Rational numbers are fundamental in cooking, baking, and many other practical applications.
