How to change a proper, negative fraction to an improper fraction

How would you write -1 13/56 as an improper fraction? If it wasn't negative, the answer would be 69/56. Since it is negative, is the answer -69/56? OR is the answer -43/56, which a colleague says; his reasoning being, to find the numerator: -1 x 56 = - 56; then add 13 to get -43. So his answer is -43/56. Which is correct?

Re: How to change a proper, negative fraction to an improper fraction

-43/56 is greater than -1, but the mixed number is actually *less* than -1, therefore your colleague's answer is not correct; -69/56 is the answer. I always used to solve these by ignoring the negative sign, solving as if the mixed number was positive, then tacking the negative sign back onto the improper fraction.

Re: How to change a proper, negative fraction to an improper fraction

Hello, jacklogan!

Your colleague is *dangerously* wrong.

I hope he doesn't apply that to Real Life.

Suppose he had $5.75 and he spent $2.25.

. . How much would he have left?

*His* answer would be $4.00.

How would he get that awful answer?

. . Like this . . .

. .

Ask him to consider this . . .

What is ?

He believes it means: .

If that is true, why didn't they write in the first place?

Re: How to change a proper, negative fraction to an improper fraction

Quote:

Originally Posted by

**jacklogan** How would you write -1 13/56 as an improper fraction? If it wasn't negative, the answer would be 69/56. Since it is negative, is the answer -69/56? OR is the answer -43/56, which a colleague says; his reasoning being, to find the numerator: -1 x 56 = - 56; then add 13 to get -43. So his answer is -43/56. Which is correct?

This whole thread is result of just out-of-date group of people.

The truth is there is absolutely no reason to use so-called **improper fractions**.

Given the wide use of calculators and computer algebra systems in which *improper fractions* have no place, what good are they? Let's drop their use!