Find the product of `2\frac{1}{4}` and `1\frac{2}{3}`. The answer must be in simplest form
To find the product of `2\frac{1}{4}` and `1\frac{2}{3}`, we first need to convert them to improper fractions:
`2\frac{1}{4}` = `(2*4+1)/4` = `9/4`
`1\frac{2}{3}` = `(1*3+2)/3` = `5/3`
Now, we multiply the two fractions:
`9/4 * 5/3 = (9*5)/(4*3) = 45/12`
Now, we simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3:
`45/12 = 15/4`
Therefore, the product of `2\frac{1}{4}` and `1\frac{2}{3}` is `15/4` or `3\frac{3}{4}`.