Multiply. Simplify and write your answer as a mixed number.

2 2/3*31/4
A) 8 2/3
B) 6 1/6
C) 104/12
D) 8 8/12

1 answer

To multiply 2 2/3 by 31/4, we first convert the mixed number 2 2/3 to an improper fraction.

2 2/3 = (3*2 + 2)/3 = 6/3 + 2/3 = 8/3

Now we can multiply the fractions:

8/3 * 31/4 = (8*31)/(3*4) = 248/12

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

248/12 = (8*31)/(8*3) = 31/3

Now let's write the answer as a mixed number:

31/3 = 10 1/3

Therefore, the answer is 10 1/3, which is not one of the given options.