# What is 2.25 * 1 1/3?

Mar 28, 2016

$3$

#### Explanation:

$1$. To solve this problem, convert all terms into improper fractions.

$\textcolor{w h i t e}{X X X X x} 2.25 \textcolor{w h i t e}{X X X X X X X X X \times} 1$$\frac{1}{3}$

$\textcolor{w h i t e}{X X X} = \frac{225}{100} \textcolor{w h i t e}{X X X X X X X X X} = \frac{4}{3}$

$\textcolor{w h i t e}{X X X} = \frac{9}{4}$

$2$. Multiply $\frac{9}{4}$ by $\frac{4}{3}$.

$\frac{9}{4} \times \frac{4}{3}$

$3$. Since $4$ appears in the numerator and denominator twice, they cancel each other out. Similarly, since $9$ in the numerator and $3$ in the denominator can both be divided by a common factor of $3$, their values are reduced.

$= {\textcolor{t e a l}{\cancel{\textcolor{b l a c k}{9}}}}^{3} / {\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}}}^{1} \times {\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}}}^{1} / {\textcolor{t e a l}{\cancel{\textcolor{b l a c k}{3}}}}^{1}$

$4$. Solve.

$= \textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} 3 \textcolor{w h i t e}{\frac{a}{a}} |}}}$