Write a fraction that is less than 5/6 and has a denominator of 8.

Solution:

We will use the concept of inequalities and fractions in order to find the required fraction.

Let us consider the function to be x / 8.

Then according to the question since it is less than 5 / 6 then,

x / 8 < 5 / 6

On transposing 8 on the right-hand side we get,

x < 20 / 3

Any numerator less than 20 / 3 will satisfy our fraction.

Let x = 16 / 3.

The fraction with numerator as 16 / 3 and denominator 8 becomes 2 / 3 which is lesser than 5 / 6.

Hence, any numerator less than 20 / 3 will satisfy our fraction, for example, for x = 16 / 3 our required fraction becomes 2 / 3 which is less than 5 / 6.

Write a fraction that is less than 5/6 and has a denominator of 8.

Summary:

Any numerator less than 20 / 3 will satisfy our fraction, for example with x = 16 / 3, our required fraction becomes 2 / 3 which is less than 5 / 6.