Evaluate the expression shown below and write your answer as a mixed number in simplest form:-1 1/5 times 4 1/2
To multiply mixed numbers, we need to convert them to improper fractions, multiply the fractions, and then convert the result back to a mixed number.
-1 1/5 can be converted to an improper fraction as follows:
-1 1/5 = (-1 × 5 + 1)/5 = -6/5
4 1/2 can be converted to an improper fraction as follows:
4 1/2 = (4 × 2 + 1)/2 = 9/2
Now, multiply the fractions:
(-6/5) × (9/2) = -54/10 = -27/5
To convert -27/5 to a mixed number, we divide the numerator (-27) by the denominator (5):
-27 ÷ 5 = -5 remainder 2
Therefore, the answer as a mixed number in simplest form is -5 2/5.