Multiply and simplify, if possible

$4\frac{1}{12}$

Explanation

Write \(1\frac34\) and \(2\frac13\) as improper fractions

$\color{red}{1\frac34} \cdot \color{blue}{2\frac13} = \color{red}{\frac74} \cdot \color{blue}{\frac73}$

Use the rule for multiplying two fractions.  Multiply the numerators and the denominators.

$= \frac{7 \cdot 7}{4 \cdot 3}$

Since there are no common factors to remove, perform the multiplication in the numerator and in the denominator.  The result is an improper fraction

$= \frac{49}{12}$

Write the improper fraction \(\frac{49}{12}\) as a mixed number

$= 4\frac{1}{12}$