How to add fractions - PSAT Math
Card 0 of 6
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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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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What is the sum of 
and 
?
What is the sum of
We can begin by eliminating the obviously wrong answers. We know that the sum of the two fractions will be more than 1, so the answer choices 
and 
are out. Now, let's add the two fractions:
Begin by converting 
to 
.
Now find the common denominator of 
and 
. The least common multiple of 5 and 6 is 30, so 30 is the common denominator. Now alter both fractions so that they use the common denominator:
Now we can easily add the two fractions together:
The answer is 
.
We can begin by eliminating the obviously wrong answers. We know that the sum of the two fractions will be more than 1, so the answer choices
Begin by converting
Now find the common denominator of
Now we can easily add the two fractions together:
The answer is
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