Use the properties of exponents to perform the following operation 2 1/3 x 8 1/4. Choose the correct answer from the following.
a) 2 13/12
b) 16 1/12
c) 2 2/7
d) 16 2/7
e) 2 1/4
To perform the operation 2 1/3 x 8 1/4, we can convert the mixed numbers to improper fractions.
2 1/3 = (2*3 + 1)/3 = 7/3
8 1/4 = (8*4 + 1)/4 = 33/4
Now, we can multiply the fractions:
(7/3) x (33/4) = (7*33)/(3*4) = 231/12
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3.
231/12 = (231/3)/(12/3) = 77/4
Therefore, the answer is 77/4.
But since we need to choose from the given options, we can rewrite 77/4 as a mixed number:
77 divided by 4 is equal to 19 remainder 1, so 77/4 = 19 1/4.
Therefore, the correct answer is e) 2 1/4.