Convert Between Percentages, Fractions and Decimals 2

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Question 1 of 6

Convert to a percentage

\frac{72}{200}

$72/200$

$\frac{72}{200} =$ $72/200=$ (36) $%$ $%$

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Method One

First, make the denominator into

100

$100$ by dividing both the numerator and denominator by

2

$2$ .

\frac{72 \div 2}{200 \div 2}

$\frac{72\div2}{200\div2}$

=

$=$

\frac{36}{100}

$\frac{36}{100}$

Since the fraction has a denominator of

100

$100$ , get the numerator and add a percentage symbol

(%)

$(%)$ .

$Percentage$ $\text(Percentage)$	$=$ $=$	$\frac{36}{100}$

	$=$ $=$	$36 %$ $36%$	Convert the denominator into a percentage symbol

36 %

$36%$

Method Two

To convert fractions into percentages, multiply the fraction by

100

$100$ .

$Percentage$ $\text(Percentage)$	$=$ $=$	$\frac{72}{200}\times100$

	$=$ $=$	$\frac{72\times100}{200\times1}$

	$=$ $=$	$\frac{72\times1}{2\times1}$	Simplify

	$=$ $=$	$\frac{72}{2}$

	$=$ $=$	$36 %$ $36%$

36 %

$36%$

Question 2 of 6

2. Question
Convert to a percentage

$\frac{15 \frac{1}{2}}{100}$ $(15 1/2)/100$
- 1. $15 \frac{1}{2} %$ $15 1/2%$
- 2. $7.5 %$ $7.5%$
- 3. $16 %$ $16%$
- 4. $15.12 %$ $15.12%$
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Since the fraction has a denominator of $100$ $100$ , get the numerator and add a percentage symbol $(%)$ $(%)$ .

$Percentage$ $\text(Percentage)$ $=$ $=$ $\frac{15\frac{1}{2}}{100}$

$=$ $=$ $15 \frac{1}{2} %$ $15 1/2%$ Convert the denominator into a percentage symbol

$15 \frac{1}{2} %$ $15 1/2%$

Question 3 of 6

Convert to a percentage

\frac{4}{5}

$4/5$

$\frac{4}{5} =$ $4/5=$ (80) $%$ $%$

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To convert fractions into percentages, multiply the fraction by

100

$100$ .

$Percentage$ $\text(Percentage)$	$=$ $=$	$\frac{4}{5}\times100$

	$=$ $=$	$\frac{4\times100}{5\times1}$

	$=$ $=$	$\frac{4\times20}{1\times1}$	Simplify

	$=$ $=$	$\frac{80}{1}$

	$=$ $=$	$80 %$ $80%$

80 %

$80%$

Question 4 of 6

Convert to a percentage

\frac{27}{50}

$27/50$

$\frac{27}{50} =$ $27/50=$ (54) $%$ $%$

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To convert fractions into percentages, multiply the fraction by

100

$100$ .

$Percentage$ $\text(Percentage)$	$=$ $=$	$\frac{27}{50}\times100$

	$=$ $=$	$\frac{27\times100}{50\times1}$

	$=$ $=$	$\frac{27\times2}{1\times1}$	Simplify

	$=$ $=$	$\frac{54}{1}$

	$=$ $=$	$54 %$ $54%$

54 %

$54%$

Question 5 of 6

Convert to a percentage

\frac{1}{3}

$1/3$

1. $35 \frac{3}{3} %$ $35 3/3%$
2. $30 %$ $30%$
3. $33 \frac{1}{3} %$ $33 1/3%$
4. $\frac{2}{3} %$ $2/3%$

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To convert fractions into percentages, multiply the fraction by

100

$100$ .

$Percentage$ $\text(Percentage)$	$=$ $=$	$\frac{1}{3}\times100$

	$=$ $=$	$\frac{1\times100}{3\times1}$

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

	$=$	$33 1/3%$	Keep the remainder in fraction form

$33 1/3%$

Question 6 of 6

6. Question
Convert to a fraction

$35%$

Write fractions in the format “a/b”
- $35%=$ (7/20)
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A percentage describes an amount’s relation to a whole. Dividing it by $100$ converts it into a fraction.

To convert percentages into fractions, divide the value by $100$ . Note that the remainder should be written as a fraction with a denominator of $100$ .

$35divide100$ $=$ $\frac{35}{100}$

$=$ $\frac{35\color{#CC0000}{\div5}}{100\color{#CC0000}{\div5}}$ Simplify by dividing both values by $5$

$=$ $\frac{7}{20}$

$7/20$

Convert Between Percentages, Fractions and Decimals 2

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Quizzes

$Percentage$ $\text(Percentage)$	$=$ $=$	$\frac{15\frac{1}{2}}{100}$

	$=$ $=$	$15 \frac{1}{2} %$ $15 1/2%$	Convert the denominator into a percentage symbol

$35divide100$	$=$	$\frac{35}{100}$

	$=$	$\frac{35\color{#CC0000}{\div5}}{100\color{#CC0000}{\div5}}$	Simplify by dividing both values by $5$

	$=$	$\frac{7}{20}$