How to add fractions - PSAT Math

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.

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

Finding the common denominator yields $\frac{24}{56}$+\frac{35}{56}$-$\frac{28}{56}$. We can then evaluate leaving $\frac{31}{56}$.

x=\frac{7}{9}$+\frac{3}{5}$+\frac{2}{15}$+\frac{7}{45}$=\frac{35}{45}$+\frac{27}{45}$+\frac{6}{45}$+\frac{7}{45}$=\frac{75}{45}$=\frac{5}{3}$

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 .

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.

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

Finding the common denominator yields $\frac{24}{56}$+\frac{35}{56}$-$\frac{28}{56}$. We can then evaluate leaving $\frac{31}{56}$.

x=\frac{7}{9}$+\frac{3}{5}$+\frac{2}{15}$+\frac{7}{45}$=\frac{35}{45}$+\frac{27}{45}$+\frac{6}{45}$+\frac{7}{45}$=\frac{75}{45}$=\frac{5}{3}$

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 .

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.

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

Finding the common denominator yields $\frac{24}{56}$+\frac{35}{56}$-$\frac{28}{56}$. We can then evaluate leaving $\frac{31}{56}$.

x=\frac{7}{9}$+\frac{3}{5}$+\frac{2}{15}$+\frac{7}{45}$=\frac{35}{45}$+\frac{27}{45}$+\frac{6}{45}$+\frac{7}{45}$=\frac{75}{45}$=\frac{5}{3}$

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 .

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.

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