All ACT Math Resources
Example Question #5 : Complex Fractions
Simplify the complex fraction by multiplying by the complex denominator:
Example Question #11 : Complex Fractions
Steven purchased of vegetables on Monday and of vegetables on Tuesday. What was the total weight, in pounds, of vegetables purchased by Steven?
To solve this answer, we have to first make the mixed numbers improper fractions so that we can then find a common denominator. To make a mixed number into an improper fraction, you multiply the denominator by the whole number and add the result to the numerator. So, for the presented data:
Now, to find out how many total pounds of vegetables Steven purchased, we need to add these two improper fractions together:
To add these fractions, they need to have a common denominator. We can adjust each fraction to have a common denominator of by multiplying by and by :
To multiply fractions, just multiply across:
We can now add the numerators together; the denominator will stay the same:
Since all of the answer choices are mixed numbers, we now need to change our improper fraction answer into a mixed number answer. We can do this by dividing the numerator by the denominator and leaving the remainder as the numerator:
This means that our final answer is .