Question

How do you simplify `1 1/4 * -5/9`?

Answer 1

Convert `1` `1/4` to an improper fraction

Ans: `65/36` or `1` `29/36`

Explanation:

`color(red)1` `color(blue)1/color(green)4` is a mixed number. To solve the problem, convert it to an improper fraction.

To do this, multiply `color(green)4` by `color(red)1`, and then add `color(blue)1` to your product. Finally, divide by `color(green)4`

`((color(green)4*color(red)1)+color(blue)1)/color(green)4`

`=5/4`

So you can write the problem as `5/4-5/9`

Now, take the LCM (Lowest Common Multiple):

`(5(9)+5(4))/(36)`

`65/36` as a proper fraction or

`1` `29/36` as a mixed number (by long division)