ISEE Lower Level Math : How to find the part from the whole

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

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Example Questions

Example Question #21 : How To Find The Part From The Whole

What is  of  ?

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole, we simply multiply the fraction by the whole number. So,

 

Therefore,  of  is .

Example Question #22 : How To Find The Part From The Whole

You and a friend buy a pizza.  The pizza has 8 slices.  You each eat  of the pizza.  How many slices do you eat?

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we will find the fraction of the whole number.  We know you ate  or half of the pizza.  We know the pizza has 8 slices.  So, to find the fraction of the whole number, we will multiply the fraction by the whole number.  So,

 

Therefore, you ate  slices of pizza.

Example Question #23 : How To Find The Part From The Whole

Find  of .

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we simply multiply the fraction by the whole number. So,

 of 

 

Therefore,  of  is .

Example Question #24 : How To Find The Part From The Whole

Find  of .

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we multiply the fraction by the whole number.  

 

So,

 of 

will be written as

 

Now, we can solve.

 

Therefore,  of  is .

Example Question #25 : How To Find The Part From The Whole

What is a quarter of 36?

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.

 

In this case, a quarter is equal to .  So, we can write it as

 of 

which can be re-written as

 

Now, we can solve.

 

Therefore, a quarter (or ) of  is .

Example Question #26 : How To Find The Part From The Whole

What is  of ?

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number. 

So, 

 of 

can be written as

Now, we can solve.

 

Therefore,  of  is .

Example Question #27 : How To Find The Part From The Whole

What is  of ?

Possible Answers:

Correct answer:

Explanation:

To find a part of a whole, we will multiply the fraction by the whole number.  So,

 of 

can be written as

Now, we can solve.

 

Therefore,  of  is .

Example Question #28 : How To Find The Part From The Whole

Find a quarter of .

Possible Answers:

Correct answer:

Explanation:

To find a part of a whole, we will multiply the fraction (or part) by the whole number.

 

In this case, the question is asking us to find the quarter.  A quarter is equivalent to .  So it is asking us to find

Now, we will multiply.

 

Therefore, a quarter of  is .

Example Question #29 : How To Find The Part From The Whole

What is  of ?

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.  So to find

 of 

we will simply multiply.  So,

Now, before we multiply, we can simplify the fractions to make things easier.  We can simplify the 7 and the 42.  The number 7 can divide into both of those numbers.  So, we get

 

Therefore,  of  is .

Example Question #30 : How To Find The Part From The Whole

If four friends invest equally in a company and they make $50,000 profit, how much is one share of the profit?

Possible Answers:

Correct answer:

Explanation:

Since they invested equally, the four friends will divide the profit equally by .  

So, using long division one share will be,

    

 

     

   

       

   

Another approach is to pull out factors as follows.

One two on the top and one two on the bottom cancel out. Next factor the numerator again.

The two on the top and the two on the bottom cancel out and the final solution is seen.

 

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