Question

What is `2.25 * 1 1/3`?

Answer 1

`3`

Explanation:

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

`color(white)(XXXXx)2.25color(white)(XXXXXXXXXxx)1` `1/3`

`color(white)(XXX)=225/100color(white)(XXXXXXXXX)=4/3`

`color(white)(XXX)=9/4`

`2`. Multiply `9/4` by `4/3`.

`9/4xx4/3`

`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.

`=color(teal)cancelcolor(black)9^3/color(red)cancelcolor(black)4^1xxcolor(red)cancelcolor(black)4^1/color(teal)cancelcolor(black)3^1`

`4`. Solve.

`=color(green)(|bar(ul(color(white)(a/a)3color(white)(a/a)|)))`