Answer:
-2 and (1/2) or -5/2.
Explanation:
First, we examine the problem and notice that one of the factors is a mixed number (-2 and 1/3) and the other factor is an improper fraction (5/4). So, let's make that mixed number an improper fraction so that this is easier to solve.
1.) Multiply the denominator 3 by the whole number -2, then add the numerator of 1 to get: -6/3. Keep the denominator for now.
2.) Multiply across like this:
- 6 x 5
3 x 4
3.) Now we have -30/12. Now we simplify this down to it's simplest form. Divide the numerator and the denominator by -6 since that is both numbers' Greatest Common Factor (GCF). Now we have:
-5/2
4.) Now we convert this improper fraction back into a mixed number. Two goes into 5 twice, so we now have -2, being the whole number. But we have a remainder left over, because 2 can't go into 5 without a remainder. We have a remainder of 1/2 left over, so lastly we have:
-2 and 1/2.
I hope that this helps.