All SAT Math Resources
Example Question #1 : How To Add Fractions
Jesse has a large movie collection containing X movies. 1/3 of his movies are action movies, 3/5 of the remainder are comedies, and the rest are historical movies. How many historical movies does Jesse own?
1/3 of the movies are action movies. 3/5 of 2/3 of the movies are comedies, or (3/5)*(2/3), or 6/15. Combining the comedies and the action movies (1/3 or 5/15), we get 11/15 of the movies being either action or comedy. Thus, 4/15 of the movies remain and all of them have to be historical.
Example Question #156 : Fractions
If x = 1/3 and y = 1/2, find the value of 2x + 3y.
Substitute the values of x and y into the given expression:
2(1/3) + 3(1/2)
= 2/3 + 3/2
= 4/6 + 9/6
Example Question #2 : How To Add Fractions
Example Question #3 : How To Add Fractions
Finding the common denominator yields . We can then evaluate leaving .
Example Question #4 : How To Add Fractions
What is the solution, reduced to its simplest form, for ?
Example Question #1 : Operations
What is the result of adding of to ?
Let us first get our value for the percentage of the first fraction. 20% of 2/7 is found by multiplying 2/7 by 2/10 (or, simplified, 1/5): (2/7) * (1/5) = (2/35)
Our addition is therefore (2/35) + (1/4). There are no common factors, so the least common denominator will be 35 * 4 or 140. Multiply the numerator and denominator of 2/35 by 4/4 and the numerator of 1/4 by 35/35.
(8/140) + (35/140) = 43/140, which cannot be reduced.
Example Question #5 : How To Add Fractions
Find the least common denominator to solve this problem
Multiply 27 with , and multiply with 3 to obtain common denominators.
Convert the fractions.
Combine the terms as one fraction.
The answer is: