Question

What is 3 1/3 x 2 1/4 ?

Answer 1

$3 \frac{1}{3} \times 2 \frac{1}{4} \\ = \frac{(3 \times 3) + 1}{3} \times \frac{(2 \times 4) + 1}{4} \\ = \frac{9 + 1}{3} \times \frac{8 + 1}{4} \\ = \frac{10}{3} \times \frac{9}{4} \\ = \frac{90}{12} \\ = \frac{15}{2}$
The answer is 15/2 = 7.5

Answer 2

You need to change the mixed number into a improper fraction:

$3\dfrac{1}{3}=\dfrac{3\cdot3+1}{3}=\dfrac{10}{3}\\\\2\dfrac{1}{4}=\dfrac{2\cdot4+1}{4}=\dfrac{9}{4}\\\\3\dfrac{1}{3}\cdot2\dfrac{1}{4}=\dfrac{10}{3}\cdot\dfrac{9}{4}\\\\=\dfrac{5}{3}\cdot\dfrac{9}{2}=\dfrac{5}{1}\cdot\dfrac{3}{2}=\dfrac{15}{3}=7\dfrac{1}{2}=7.5$