Question

Erica mixed 1 1/5 cups of wheat flour,2 2/5 cups rye flour, and 2 3/5 cups white flour together. How many cups of flour did she mix together?

answer A. 6 1/5
answer B. 6
answer C. 5 4/5
answer D. 5 1/5

Answer 1

A. `6 1/5`

Explanation:

1. Add all the whole numbers `-> 1 + 2 + 2 = 5`
2. Add the fractions `-> 1/5 + 2/5 + 3/5 = 6/5`
3. all of the fractions have a common denominator `(5)`, so you simply add the numerator (top digit)
4. Simplify improper fraction to a mixed number `-> 6/5 = 1 1/5`
5. Add whole and mixed number `-> 5 + 1 1/5 = 6 1/5`

Answer 2

The answer is `"A")` `6 1/5`

Explanation:

`color(red)(1 1/5) + color(blue)(2 2/5) + color(green)(2 3/5`

Since all of the fractions have the same denominator, we can add the whole numbers and the numerators of the fractions.

`color(red)1 + color(blue)2 + color(green)2 + color(red)(1/5) + color(blue)(2/5) + color(green)(3/5`

Add the whole numbers first.

`5 + color(red)(1/5)+color(blue)(2/5)+color(green)(3/5`

Add the numerators.

`5 + 6/5`

Simplify `6/5` to `1 1/5`.

`5 + 1 1/5`

Simplify `5 + 1` to `6`.

`6 1/5`