# 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?

Jan 13, 2017

Tiffany weeded $\frac{5}{15}$ of the garden.
$\frac{5}{15}$ is equivalent to $\frac{1}{3}$.

#### Explanation:

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

We can now add the various bits:

Tiffany's bit + George's bit + unweeded bit $=$ The whole garden .
Tiffany's bit$+ \frac{6}{15} + \frac{4}{15} = \frac{15}{15}$

Tiffany's bit $+ \frac{10}{15} = \frac{15}{15}$

So Tiffany's bit$= \frac{5}{15}$
You can simplify this to $\frac{1}{3}$ by cancelling out the common factor 5.