Algebra II : Adding and Subtracting Fractions

Study concepts, example questions & explanations for Algebra II

varsity tutors app store varsity tutors android store

Example Questions

Example Question #69 : Fractions

Add the fractions:

Possible Answers:

Correct answer:

Explanation:

When adding fractions, the first thing we need to do is get a common denominator. 

 

Then when adding, only add the numbers on the top, while leaving the common number on the bottom the same. Once we get a final answer, simplify accordingly. 

Example Question #71 : Fractions

Add the fractions:

Possible Answers:

Correct answer:

Explanation:

When adding fractions, the first thing we need to do is get a common denominator. 

 

Then when adding, only add the numbers on the top, while leaving the common number on the bottom the same. Once we get a final answer, simplify accordingly. 

Example Question #72 : Fractions

Add the fractions:

Possible Answers:

Correct answer:

Explanation:

When adding fractions, the first thing we need to do is get a common denominator. 

 

Then when adding, only add the numbers on the top, while leaving the common number on the bottom the same. Once we get a final answer, simplify accordingly. 

Example Question #73 : Fractions

Add the fractions:

Possible Answers:

Correct answer:

Explanation:

When adding fractions, the first thing we need to do is get a common denominator, but for this question, we do not need to do this because their denominators are already the same. Then when adding, only add the numbers on the top, while leaving the common number on the bottom the same. Once we get a final answer, simplify accordingly. 

Example Question #74 : Fractions

Add the fractions:

Possible Answers:

Correct answer:

Explanation:

When adding fractions, the first thing we need to do is get a common denominator. 

 

Then when adding, only add the numbers on the top, while leaving the common number on the bottom the same. Once we get a final answer, simplify accordingly. 

Example Question #75 : Fractions

Subtract the fractions:

Possible Answers:

Correct answer:

Explanation:

When subtracting fractions, the first thing we need to do is get a common denominator. 

 

Then when subtracting, only subtract the numbers on the top, while leaving the common number on the bottom the same. Once we get a final answer, simplify accordingly. 

Example Question #76 : Fractions

Subtract the fractions:

Possible Answers:

Correct answer:

Explanation:

When subtracting fractions, the first thing we need to do is get a common denominator. 

 

Then when subtracting, only subtract the numbers on the top, while leaving the common number on the bottom the same. Once we get a final answer, simplify accordingly. 

Example Question #77 : Fractions

Subtract the fractions:

Possible Answers:

Correct answer:

Explanation:

When subtracting fractions, the first thing we need to do is get a common denominator. 

 

Then when subtracting, only subtract the numbers on the top, while leaving the common number on the bottom the same. Once we get a final answer, simplify accordingly. 

Example Question #78 : Fractions

Combine the fractions and leave answer as either whole number or fraction.

Possible Answers:

Correct answer:

Explanation:

First you must find the Least Common Denominator which is 28.

So you will multiply as follows to get the common denominator of 28:

Making it:

Combine to give answer:

Example Question #79 : Fractions

If  and , what is ?

Possible Answers:

Correct answer:

Explanation:

Let's first write the equation out:

In order to add these fractions, we need to have a common denominator.  To do this, we multiply the first term by the denominator of the second term, and vise versa:

Now we can add the numerators, while the denominators would stay the same:

We then simplify the numerator to get the final answer:

Learning Tools by Varsity Tutors