To multiply 2 2/3 by 3 1/4, we first need to convert both mixed numbers to improper fractions.
2 2/3 = (2*3 + 2)/3 = 8/3
3 1/4 = (3*4 + 1)/4 = 13/4
Now, we multiply these two fractions:
(8/3) * (13/4) = (8 * 13)/(3 * 4) = 104/12
To simplify 104/12 and write it as a mixed number, we divide the numerator by the denominator:
104 ÷ 12 = 8 with a remainder of 8.
Therefore, the answer is 8 8/12.
However, this mixed number can be simplified further by dividing both the numerator and denominator by their greatest common factor, which is 4.
8 ÷ 4 = 2
8 ÷ 4 = 2
So, the simplified mixed number is 2 2/3.
Therefore, the correct answer is D) 8 8/12, which is equivalent to 2 2/3.
Multiply. Simplify and write your answer as a mixed number.
2 2/3*3 1/4
A) 8 2/3
B) 6 1/6
C) 104/12
D) 8 8/12
1 answer