Question

George weeded 2/5 of the garden and Tiffany weeded some, too when they were finished, 4/15 of the garden still needed to be weeded. What fraction of the garden did Tiffany weed?

Answer 1

Tiffany weeded `5/15` of the garden.
`5/15` is equivalent to `1/3`.

Explanation:

George weeds `2/5` of the garden and `4/15` remains unweeded. It is difficult to compare fractions with different denominators. So it seems best to express `2/5` as an equivalent fraction like this: `2/5 = 2/5 . 3/3 = (2 . 3)/( 5. 3 )= 6/15`

We can now add the various bits:

Tiffany's bit + George's bit + unweeded bit `=` The whole garden .
Tiffany's bit`+ 6/15 + 4/15 = 15/15`

Tiffany's bit `+ 10/15 = 15/15`

So Tiffany's bit`= 5/15`
You can simplify this to `1/3` by cancelling out the common factor 5.