Convert Between Percentages, Fractions and Decimals 3

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Question 1 of 6

1. Question
Convert to a fraction

$372 %$ $372%$
- 1. $2 \frac{18}{35}$ $2 18/35$
- 2. $2 \frac{73}{100}$ $2 73/100$
- 3. $3 \frac{15}{28}$ $3 15/28$
- 4. $3 \frac{18}{25}$ $3 18/25$
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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 $100$ $100$ .

$100$ $100$ goes into $372$ $372$ three times. So write $3$ $3$ above the line.

Multiply $3$ $3$ to $100$ $100$ and write the answer below $372$ $372$

Subtract $300$ $300$ from $372$ $372$ and write the answer one line below.

Since $72$ $72$ cannot be divided by $100$ $100$ , that will be the remainder of the equation.

Finally, turn the remainder into a fraction with a denominator of $100$ $100$ and combine it with the whole number

$Remainder$ $\text(Remainder$ $=$ $=$ $\frac{72}{100}$ $72/100$

$372 %$ $372%$ $=$ $=$ $3 \frac{72}{100}$ $3 72/100$

$=$ $=$ $3 \frac{72\color{#CC0000}{\div4}}{100\color{#CC0000}{\div4}}$ Simplify by dividing both values by $4$ $4$

$=$ $=$ $3 \frac{18}{25}$ $3 18/25$ Simplify

$3 \frac{18}{25}$ $3 18/25$
Question 2 of 6

2. Question
Convert to a decimal

$27 %$ $27%$
- $27 % =$ $27%=$ (0.27)
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When dividing decimals to values like $10, 100, 1000 \dots$ $10, 100, 1000…$ , simply move the decimal point to the left by the number of zeroes.

To convert a percentage to a decimal, divide the percentage value by $100$ $100$ .

Since the decimal is being divided by $100$ $100$ , simply move the decimal point $2$ $2$ places to the left.

Therefore, $27 %$ $27%$ is equal to $0.27$ $0.27$

$0.27$ $0.27$
Question 3 of 6

3. Question
Convert to a decimal

$535 %$ $535%$
- $535 % =$ $535%=$ (5.35)
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When dividing decimals to values like $10, 100, 1000 \dots$ $10, 100, 1000…$ , simply move the decimal point to the left by the number of zeroes.

To convert a percentage to a decimal, divide the percentage value by $100$ $100$ .

Since the decimal is being divided by $100$ $100$ , simply move the decimal point $2$ $2$ places to the left.

Therefore, $535 %$ $535%$ is equal to $5.35$ $5.35$

$5.35$ $5.35$
Question 4 of 6

4. Question
Convert to a percentage

$0.3$ $0.3$
- $0.3 =$ $0.3=$ (30) $%$ $%$
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When multiplying decimals to values like $10, 100, 1000 \dots$ $10, 100, 1000…$ , simply move the decimal point to the right by the number of zeroes.

To convert a decimal to a percentage, multiply the percentage value by $100$ $100$ .

Since the decimal is being multiplied by $100$ $100$ , simply move the decimal point $2$ $2$ places to the right.

Therefore, $0.3$ $0.3$ is equal to $30 %$ $30%$

$30 %$ $30%$
Question 5 of 6

5. Question
Convert to a percentage

$0.05$ $0.05$
- $0.05 =$ $0.05=$ (5) $%$ $%$
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When multiplying decimals to values like $10, 100, 1000 \dots$ $10, 100, 1000…$ , simply move the decimal point to the right by the number of zeroes.

To convert a decimal to a percentage, multiply the percentage value by $100$ $100$ .

Since the decimal is being multiplied by $100$ $100$ , simply move the decimal point $2$ $2$ places to the right.

Therefore, $0.05$ $0.05$ is equal to $5 %$ $5%$

$5 %$ $5%$
Question 6 of 6

6. Question
Convert to a percentage

$24.73$ $24.73$
- $24.73 =$ $24.73=$ (2473) $%$ $%$
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When multiplying decimals to values like $10, 100, 1000 \dots$ $10, 100, 1000…$ , simply move the decimal point to the right by the number of zeroes.

To convert a decimal to a percentage, multiply the percentage value by $100$ $100$ .

Since the decimal is being multiplied by $100$ $100$ , simply move the decimal point $2$ $2$ places to the right.

Therefore, $24.73$ $24.73$ is equal to $2473 %$ $2473%$

$2473 %$ $2473%$

Convert Between Percentages, Fractions and Decimals 3

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Quiz summary

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1. Question

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Excellent!

2. Question

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Exceptional!

3. Question

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Nice Job!

4. Question

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Correct!

5. Question

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Fantastic!

6. Question

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Nice Job!

Quizzes

$372 %$ $372%$	$=$ $=$	$3 \frac{72}{100}$ $3 72/100$

	$=$ $=$	$3 \frac{72\color{#CC0000}{\div4}}{100\color{#CC0000}{\div4}}$	Simplify by dividing both values by $4$ $4$

	$=$ $=$	$3 \frac{18}{25}$ $3 18/25$	Simplify