Use the properties of exponents to perform the following operation 2 1/3 x 8 1/4. Select the correct answer from the following.
a) 2 13/12
b) 16 1/2
c) 2 /2/7
d) 16 2/7
e) 2 1/4
To multiply two numbers written in mixed fraction form, we need to convert them to improper fractions.
First, let's convert 2 1/3 to an improper fraction. Since the whole number part is 2 and the fraction part is 1/3, we can multiply the whole number part by the denominator of the fraction part and add the numerator.
2 1/3 = (2 * 3 + 1)/3 = 7/3
Next, let's convert 8 1/4 to an improper fraction.
8 1/4 = (8 * 4 + 1)/4 = 33/4
Now, we can multiply the two improper fractions.
(7/3) * (33/4) = (7 * 33)/(3 * 4) = 231/12
To simplify this fraction, we can divide the numerator and denominator by their greatest common factor, which is 3.
231/12 ÷ 3/3 = 77/4
The final answer is 77/4.
However, none of the given options match this answer. It seems that there might be an error in the question or the options provided.