Question

What is the ineqaulity to describe the relationsip between -1 2/3 and -1/4

Answer 1

`\displaystyle -1(2)/(3) < -(1)/(4)`

Or:

`\displaystyle -(1)/(4) > -1(2)/(3)`

Explanation:

Before comparing both fractions, let's express them as proper or improper fractions.

`\displaystyle -1(2)/(3)=-(5)/(3)`

That is an improper fraction whose value is less than -1

The fraction -1/4 is a proper fraction with a value greater than -1, which makes it greater than the other fraction. Thus:

`\displaystyle -1(2)/(3) < -(1)/(4)`

Or, equivalently:

`\displaystyle -(1)/(4) > -1(2)/(3)`