How to add fractions - SAT Math
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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?
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.
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.
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What is the result of adding 
of 
to 
?
What is the result of adding
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.
This yields:
(8/140) + (35/140) = 43/140, which cannot be reduced.
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.
This yields:
(8/140) + (35/140) = 43/140, which cannot be reduced.
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If x = 1/3 and y = 1/2, find the value of 2_x_ + 3_y_.
If x = 1/3 and y = 1/2, find the value of 2_x_ + 3_y_.
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
= 13/6
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
= 13/6
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Solve 
.
Solve
Finding the common denominator yields 
. We can then evaluate leaving 
.
Finding the common denominator yields
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What is the solution, reduced to its simplest form, for 
?
What is the solution, reduced to its simplest form, for
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Add:
Add:
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: 
Find the least common denominator to solve this problem
Multiply 27 with
Convert the fractions.
Combine the terms as one fraction.
The answer is:
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