Vivian measured 2/5 cup of onions, 1/3 cup of celery, and 1/2 cup of carrots. How many cups of vegetables did Vivian measure out for her vegetable soup?

First find the lowest common denominator for 5, 3 and 2. LCD = 5 x 3 x 2 = 30. Then change 2/5, 1/3 and 1/2 so that they have the LCD as their denominator. For example 1/2 = 15/30. 1/3 = 10/30 and 2/5 = 12/30. Then you all all 3 fractions. 12/30 + 10/30 + 15/30 = 37/30. That is an improper fraction. Convert it to a mixed number. 37/30 = 1 7/30