ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

Study concepts, example questions & explanations for ISEE Middle Level Math

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Example Questions

Example Question #351 : Fractions

Find the sum.

Possible Answers:

Correct answer:

Explanation:

When adding fractions, you must first find a common denominator.  You can find a common denominator by multiplying the numerator and denominator of each fraction by the denominator of the other. Once you have a common denominator, add the numerators and keep the denominator the same.Then simplify or convert to a mixed number if necessary.  

Example Question #352 : Fractions

Find the sum.

Possible Answers:

Correct answer:

Explanation:

When adding fractions, you must first find a common denominator.  Since the denominator in the second fraction (12) is a multiple of the denominator in the first fraction (2), you can keep the second fraction the same and multiply the numerator and denominator in the first fraction by the number you need to multiply by the first denominator to produce the second denominator.

 

Example Question #353 : Fractions

Possible Answers:

Correct answer:

Explanation:

To add fractions you must have a common denominator.  They share a multiple of .   and .  .

Example Question #504 : Numbers And Operations

Find the sum:

Possible Answers:

Correct answer:

Explanation:

To add fractions, you must have a common denominator.  

Since  is a multiple of , we can use .  

We must multiple the one fraction by  to get the denominator to  which makes the numerator .  

With like denominators, you just add the numerators together which gives us 

.

Example Question #354 : Fractions

Add the following fractions:

Possible Answers:

Correct answer:

Explanation:

Add the following fractions:

First, we need a common denominator. We can get one by multiplying "four-fifths" by "ten-tenths." Then, add the numerators to get the answer.

So, our answer is:

Example Question #1391 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Add the following fractions:

Possible Answers:

Correct answer:

Explanation:

To solve, add the numerators and keep the denominators the same:

Answer:

Example Question #361 : Fractions

Add the following fractions:

Possible Answers:

Correct answer:

Explanation:

To solve, add the numerators and keep the denominators the same:

Answer:

Example Question #71 : How To Add Fractions

Add the following:

Possible Answers:

Correct answer:

Explanation:

When adding fractions, we must find a common denominator.  So, given the fractions

we see the denominators are 2 and 4.  The common denominator of 2 and 4 is 4.  So, we must make both denominators equal 4.  So,

How can we write  as a fraction with 4 in the denominator?  We must determine what number we can multiply the denominator by to get 4.  Once we determine that, we multiply the numerator by the same number.  So,

So 2 times what number will give us 4?  The answer is 2.  So,

Now that we know that, we must multiply the numerator by the same number.  So,

and we get

 

Now, the 2 fractions have the same denominator, so we can add them.  So,

When we add fractions, we add only the numerator and the denominator stays the same.  So,

Example Question #71 : How To Add Fractions

Solve the following:

Possible Answers:

Correct answer:

Explanation:

To subtract fractions, we need to find a common denominator, then we subtract the numerators only.  

So, given the problem

we can see we already have a common denominator. So, we will now subtract the numerators (note that we will leave the denominator alone). We get

 

Example Question #73 : How To Add Fractions

Add the following:

Possible Answers:

Correct answer:

Explanation:

To add fractions, we need to have a common denominator.  Then, we will add only the numerators, and we will leave the denominators alone. 

So, given the problem

we will find a common denominator. To do that, we will find the least common multiply.  

We can see the least common multiply is 6. So, the denominator will be 6.

If we change the denominators to 6, we have to adjust the numerators accordingly. So, we get

 

 

Now, we can add. We get

 

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