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ISEE Lower Level Math : Whole and Part

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

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All ISEE Lower Level Math Resources

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Example Questions

Example Question #134 : Numbers And Operations

Find $\frac{1}{7}$ of .

Possible Answers:

Correct answer:

Explanation:

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

$\frac{1}{7}$ of

$\frac{1}{7} \cdot 84$

$\frac{1}{7} \cdot \frac{84}{1}$

$\frac{1 \cdot 84}{7 \cdot 1}$

$\frac{84}{7}$

Therefore, $\frac{1}{7}$ of is .

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Example Question #136 : Numbers And Operations

Find $\frac{2}{5}$ of .

Possible Answers:

Correct answer:

Explanation:

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

So,

$\frac{2}{5}$ of

will be written as

$\frac{2}{5} \cdot 15$

Now, we can solve.

$\frac{2}{5} \cdot 15$

$\frac{2}{5} \cdot \frac{15}{1}$

$\frac{2 \cdot 15}{5 \cdot 1}$

$\frac{30}{5}$

Therefore, $\frac{2}{5}$ of is .

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Example Question #136 : Numbers And Operations

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 $\frac{1}{4}$ . So, we can write it as

$\frac{1}{4}$ of

which can be re-written as

$\frac{1}{4} \cdot 36$

Now, we can solve.

$\frac{1}{4} \cdot 36$

$\frac{1}{4} \cdot \frac{36}{1}$

$\frac{1 \cdot 36}{4 \cdot 1}$

$\frac{36}{4}$

Therefore, a quarter (or $\frac{1}{4}$ ) of is .

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Example Question #137 : Numbers And Operations

What is $\frac{1}{7}$ of ?

Possible Answers:

$\frac{1}{7}$

Correct answer:

Explanation:

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

So,

$\frac{1}{7}$ of

can be written as

$\frac{1}{7} \cdot 56$

Now, we can solve.

$\frac{1}{7} \cdot \frac{56}{1}$

$\frac{1 \cdot 56}{7 \cdot 1}$

$\frac{56}{7}$

Therefore, $\frac{1}{7}$ of is .

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Example Question #138 : Numbers And Operations

What is $\frac{1}{3}$ of ?

Possible Answers:

Correct answer:

Explanation:

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

$\frac{1}{3}$ of

can be written as

$\frac{1}{3} \cdot 27$

Now, we can solve.

$\frac{1}{3} \cdot \frac{27}{1}$

$\frac{1 \cdot 27}{3 \cdot 1}$

$\frac{27}{3}$

Therefore, $\frac{1}{3}$ of is .

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

Find a quarter of 200 .

Possible Answers:

125

100

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 $\frac{1}{4}$ . So it is asking us to find

$\frac{1}{4} \text{ of } 200$

Now, we will multiply.

$\frac{1}{4} \cdot 200$

$\frac{1}{4} \cdot \frac{200}{1}$

$\frac{1 \cdot 200}{4 \cdot 1}$

$\frac{200}{4}$

Therefore, a quarter of 200 is .

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

What is $\frac{6}{7}$ 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

$\frac{6}{7}$ of

we will simply multiply. So,

$\frac{6}{7} \cdot 42$

$\frac{6}{7} \cdot \frac{42}{1}$

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

$\frac{6}{1} \cdot \frac{6}{1}$

$\frac{6 \cdot 6}{1 \cdot 1}$

$\frac{36}{1}$

Therefore, $\frac{6}{7}$ of is .

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Example Question #28 : 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:

$\$200,000$

$\$50,000$

$\$100,000$

$\$12,500$

$\$10,000$

Correct answer:

$\$12,500$

Explanation:

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

So, using long division one share will be,

12500

$4)\overline{50,000}$

$\underline{-4}$

$\underline{-8}$

$\underline{-20}$

Another approach is to pull out factors as follows.

$\frac{50,000}{4}=\frac{2\cdot 25000}{2\cdot 2}$

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

$\frac{25000}{2}=\frac{2\cdot 12500}{2}$

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

$\textup{Each Share}=\$12.500$

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Example Question #31 : How To Find The Part From The Whole

Find $\frac{1}{3}$ of .

Possible Answers:

$\frac{1}{3}$

Correct answer:

Explanation:

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

So,

$\frac{1}{3}$ of

can be written as

$\frac{1}{3} \cdot 33$

To multiply, we will first write 33 in fraction form. We get

$\frac{1}{3} \cdot \frac{33}{1}$

Now, we can multiply. We will multiply straight across. We get

$\frac{1 \cdot 33}{3 \cdot 1}$

$\frac{33}{3}$

Therefore, $\frac{1}{3}$ of is .

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Example Question #51 : Whole And Part

Find $\frac{1}{3}$ of .

Possible Answers:

Correct answer:

Explanation:

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

$\frac{1}{3}$ of

can be written as

$\frac{1}{3} \cdot 21$

Now, we can multiply. We must first write 21 in fraction form. We get

$\frac{1}{3} \cdot \frac{21}{1}$

Now, we multiply straight across. We get

$\frac{1 \cdot 21}{3 \cdot 1}$

$\frac{21}{3}$

Therefore, $\frac{1}{3}$ of is .

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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : Whole and Part

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #134 : Numbers And Operations

Example Question #136 : Numbers And Operations

Example Question #136 : Numbers And Operations

Example Question #137 : Numbers And Operations

Example Question #138 : Numbers And Operations

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

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

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

Example Question #31 : How To Find The Part From The Whole

Example Question #51 : Whole And Part

All ISEE Lower Level Math Resources

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