Multiply. Simplify and write the answer as a mixed number.
1 2/3* 2 1/4
A) 2 1/6
B) 3 3/4
C) 45/12
D) 3 9/12
To multiply mixed numbers, we first need to convert them into improper fractions.
1 2/3 as an improper fraction is (3*1 + 2)/3 = 5/3.
2 1/4 as an improper fraction is (4*2 + 1)/4 = 9/4.
Multiplying these two fractions gives us (5/3) * (9/4) = 45/12.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 3.
45/3 = 15
12/3 = 4
So, the simplified fraction is 15/4.
To write this as a mixed number, we divide the numerator (15) by the denominator (4) and write the remainder as the fraction's numerator.
15 divided by 4 is 3 with a remainder of 3, so the mixed number is 3 3/4.
The answer is (B) 3 3/4.