Amory ate `\frac{1}{4}` of a box of cereal. Blaine ate `\frac{2}{9}` of the same box. What fraction of the box of cereal did they eat together?
1/4 + 2/9 = .25 + .22 = ?
how do you get the .25 and .22?
To find out what fraction of the box of cereal Amory and Blaine ate together, we need to add up the fractions of cereal they each ate.
Amory ate `\frac{1}{4}` of the box, and Blaine ate `\frac{2}{9}` of the box.
To add these fractions, we need to find a common denominator. The least common multiple of 4 and 9 is 36. So, we can rewrite the fractions with a common denominator of 36:
Amory: `\frac{1}{4}` is equivalent to `\frac{9}{36}` (we multiply numerator and denominator by 9).
Blaine: `\frac{2}{9}` is equivalent to `\frac{8}{36}` (we multiply numerator and denominator by 4).
Now we can add the fractions together:
`\frac{9}{36}` + `\frac{8}{36}` = `\frac{17}{36}`
Therefore, Amory and Blaine ate a total of `\frac{17}{36}` of the box of cereal together.