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Algebra 1 : How to find the part from the whole with percentage

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #68 : Whole And Part

$\textup{What is 6\% of 4?}$

Possible Answers:

$\frac{25}{6}$

$\frac{6}{25}$

$\frac{2}{3}$

$\frac{3}{2}$

Correct answer:

$\frac{6}{25}$

Explanation:

Rewrite the percentage as a fraction. A percent is some number out of $100\textup{ parts}$ .

$\frac{6}{100}$

Multiply this fraction by .

$\frac{6}{100}\times 4 = \frac{6}{25\times 4}\times 4$

Cancel out the common terms in the denominator with the integer.

The answer is: $\frac{6}{25}$

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Example Question #64 : Whole And Part

What is three percent of three?

Possible Answers:

$\frac{9}{100}$

0.9

$\frac{9}{1000}$

Correct answer:

$\frac{9}{100}$

Explanation:

Rewrite three percent as a fraction.

$3\% =\frac{3}{100}$

Multiply this fraction with three.

$\frac{3}{100} \cdot 3=\frac{9}{100}$

The answer is: $\frac{9}{100}$

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Example Question #70 : Whole And Part

What is four percent of twelve?

Possible Answers:

$\frac{4}{5}$

$\frac{1}{48}$

$\frac{24}{5}$

$\frac{12}{25}$

$\frac{4}{25}$

Correct answer:

$\frac{12}{25}$

Explanation:

Write four percent as a fraction. A percent is a number out of 100 parts.

$4\% =\frac{4}{100}$

Multiply this fraction with twelve.

$\frac{4}{100}\cdot 12 = \frac{48}{100}$

Reduce this fraction.

$\frac{48}{100}=\frac{4\times 12}{4 \times 25}$

Cancel the common terms of this fraction.

The answer is: $\frac{12}{25}$

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Example Question #42 : How To Find The Part From The Whole With Percentage

What is thirty percent of sixty eight?

Possible Answers:

$\frac{51}{5}$

$\frac{17}{3}$

$\frac{153}{5}$

$\frac{102}{5}$

$\frac{68}{3}$

Correct answer:

$\frac{102}{5}$

Explanation:

Write the expression for this question.

$30\% \cdot 68$

Rewrite the percentage as a fraction.

$\frac{30}{100} \cdot 68 = \frac{3}{10}\cdot 68$

Multiply the numerator with the integer.

$\frac{204}{10}$

Write the fraction using common factors. Both the numerator and denominator are divisible by two.

$\frac{204}{10} = \frac{2\times 102}{2\times 5}$

Simplify by cancelling the like terms.

The answer is: $\frac{102}{5}$

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Example Question #43 : How To Find The Part From The Whole With Percentage

What is half a percent of sixty?

Possible Answers:

$\frac{3}{10}$

$\frac{1}{24}$

$\frac{1}{120}$

$\frac{5}{12}$

Correct answer:

$\frac{3}{10}$

Explanation:

Write the expression for half a percent.

$\frac{1\%}{2}$

Rewrite this as a decimal.

$\frac{1\%}{2} = \frac{0.01}{2} = 0.005$

Multiply this number with sixty.

$0.005\times 60 = 0.3$

This number is equivalent to $\frac{3}{10}$ .

The answer is: $\frac{3}{10}$

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Algebra 1 : How to find the part from the whole with percentage

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #68 : Whole And Part

Example Question #64 : Whole And Part

Example Question #70 : Whole And Part

Example Question #42 : How To Find The Part From The Whole With Percentage

Example Question #43 : How To Find The Part From The Whole With Percentage

All Algebra 1 Resources

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