Convert Between Percentages, Fractions and Decimals 1

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Question 1 of 6

Convert to a percentage

\frac{14}{100}

$14/100$

$\frac{14}{100} =$ $14/100=$ (14) $%$ $%$

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To convert fractions into percentages, multiply the fraction by

100

$100$ .

$Percentage$ $\text(Percentage)$	$=$ $=$	$\frac{14}{100}\times100$

	$=$ $=$	$\frac{14\times100}{100\times1}$

	$=$ $=$	$\frac{14}{1}$	Simplify

	$=$ $=$	$14 %$ $14%$

14 %

$14%$

Question 2 of 6

Convert to a percentage

\frac{175}{100}

$175/100$

$\frac{175}{100} =$ $175/100=$ (175) $%$ $%$

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To convert fractions into percentages, multiply the fraction by

100

$100$ .

$Percentage$ $\text(Percentage)$	$=$ $=$	$\frac{175}{100}\times100$

	$=$ $=$	$\frac{175\times100}{100\times1}$

	$=$ $=$	$\frac{175\times1}{1\times1}$	Simplify

	$=$ $=$	$\frac{175}{1}$

	$=$ $=$	$175 %$ $175%$

175 %

$175%$

Question 3 of 6

3. Question
Convert to a percentage

$\frac{0.03}{100}$ $(0.03)/100$
- $\frac{0.03}{100} =$ $0.03/100=$ (0.03) $%$ $%$
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Since the fraction has a denominator of $100$ $100$ , get the numerator and add a percentage symbol $(%)$ $(%)$ .

$Percentage$ $\text(Percentage)$ $=$ $=$ $\frac{0.03}{100}$

$=$ $=$ $0.03 %$ $0.03%$ Convert the denominator into a percentage symbol

$0.03 %$ $0.03%$

Question 4 of 6

Convert to a percentage

\frac{9}{15}

$9/15$

$\frac{9}{15} =$ $9/15=$ (60) $%$ $%$

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To convert fractions into percentages, multiply the fraction by

100

$100$ .

$Percentage$ $\text(Percentage)$	$=$ $=$	$\frac{9}{15}\times100$

	$=$ $=$	$\frac{9\times100}{15\times1}$

	$=$ $=$	$\frac{9\times20}{3\times1}$	Simplify

	$=$ $=$	$\frac{180}{3}$

	$=$ $=$	$60 %$ $60%$

60 %

$60%$

Question 5 of 6

Convert to a percentage

\frac{3}{8}

$3/8$

1. $37 \frac{1}{2} %$ $37 1/2%$
2. $33 \frac{2}{3} %$ $33 2/3%$
3. $37 %$ $37%$
4. $37 \frac{8}{8} %$ $37 8/8%$

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To convert fractions into percentages, multiply the fraction by

100

$100$ .

$Percentage$ $\text(Percentage)$	$=$ $=$	$\frac{3}{8}\times100$

	$=$ $=$	$\frac{3\times100}{8\times1}$

	$=$ $=$	$\frac{300}{8}$

	$=$ $=$	$37 \frac{4}{8}$ $37 4/8$	Keep the remainder in fraction form

	$=$ $=$	$37 \frac{1}{2} %$ $37 1/2%$	Simplify

37 \frac{1}{2} %

$37 1/2%$

Question 6 of 6

Convert to a fraction

64 %

$64%$

Write fractions in the format “a/b”

$64 % =$ $64%=$ (16/25, 64/100)

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A percentage describes an amount’s relation to a whole. Dividing it by

100

$100$ converts it into a fraction.

To convert percentages into fractions, divide the value by

100

$100$ . Note that the remainder should be written as a fraction with a denominator of

100

$100$ .

$64 \div 100$ $64divide100$	$=$ $=$	$\frac{64}{100}$

	$=$ $=$	$\frac{64\color{#CC0000}{\div4}}{100\color{#CC0000}{\div4}}$	Simplify by dividing both values by $4$ $4$

	$=$ $=$	$\frac{16}{25}$

\frac{16}{25}

$16/25$

Convert Between Percentages, Fractions and Decimals 1

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Quizzes

$Percentage$ $\text(Percentage)$	$=$ $=$	$\frac{0.03}{100}$

	$=$ $=$	$0.03 %$ $0.03%$	Convert the denominator into a percentage symbol