Percent of an Amount 1

Years

Year 10

Percentages

Percent of an Amount

Percent of an Amount 1

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Question 1 of 5

1. Question
What is $4%$ of $$700$ ?
- $$$ (28)
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A percentage describes an amount’s relation to a whole. Dividing it by $100$ converts it into a fraction.

To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.

$4%times700$

$=$ $4/100times700/1$ Convert to fraction form

$=$ $4/1times7/1$ Simplify

$=$ $\frac{28}{1}$

$=$ $28$

Hence, $4%$ of $$700$ is $\underline{$28}$

$$28$
Question 2 of 5

2. Question
What is $27%$ of $600 \text(grams)$ ?
- (162) $\text(grams)$
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A percentage describes an amount’s relation to a whole. Dividing it by $100$ converts it into a fraction.

To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.

$27%times600$

$=$ $27/100times600/1$ Convert to fraction form

$=$ $27/1times6/1$ Simplify

$=$ $\frac{162}{1}$

$=$ $162$

Hence, $27%$ of $600 \text(grams)$ is $\underline{162\;\text{grams}}$

$162$ $\text(grams)$
Question 3 of 5

3. Question
What is $35%$ of $60 \text(litres)$ ?
- (21) $\text(litres)$
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A percentage describes an amount’s relation to a whole. Dividing it by $100$ converts it into a fraction.

To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.

$35%times60$

$=$ $35/100times60/1$ Convert to fraction form

$=$ $35/10times6/1$ Simplify

$=$ $\frac{210}{10}$

$=$ $\frac{21}{1}$ Simplify

$=$ $21$

Hence, $35%$ of $60 \text(litres)$ is $\underline{21\;\text{litres}}$

$21$ $\text(litres)$
Question 4 of 5

4. Question
What is $45%$ of $2$ metres?
- (0.9) $\text(metres)$
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A percentage describes an amount’s relation to a whole. Dividing it by $100$ converts it into a fraction.

To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.

$45%times2$

$=$ $45/100times2/1$ Convert to fraction form

$=$ $\frac{90}{100}$

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

Hence, $45%$ of $2$ metres is $\underline{0.9\;\text{metres}}$

$0.9$ $\text(metres)$

Question 5 of 5

What is

$33 1/3%$ of

$$180$ ?

$$$ (60)

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Transforming a Fraction from Mixed to Improper

$=$

$\frac{(\color{#9a00c7}{c}\times\color{#00880A}{a})+\color{#007DDC}{b}}{\color{#9a00c7}{c}}$

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

$100$ converts it into a fraction.

First, convert the percentage value into an improper fraction by multiplying the denominator by the whole number and then adding the numerator

$\color{#00880A}{33}\frac{\color{#007DDC}{1}}{\color{#9a00c7}{3}}$	$=$	$\frac{(\color{#9a00c7}{3}\times\color{#00880A}{33})+\color{#007DDC}{1}}{\color{#9a00c7}{3}}$

	$=$	$\frac{99+1}{3}$

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

Next, convert the percentage into a fraction by dividing it by

$100$

Dividing fractions is the same as multiplying the dividend by the divisor’s reciprocal

$\text(Fraction)$	$=$	$\frac{\frac{100}{3}}{\color{#CC0000}{100}}$

	$=$	$\frac{100}{3}\div{\color{#CC0000}{100}}$	Change from a fraction to division

	$=$	$\frac{100}{3}\times\frac{1}{100}$	Get the divisor’s reciprocal then multiply

	$=$	$\frac{1}{3}$	Simplify

Finally, to get the percentage of an amount, simply solve for their product. Use fractions for easier computation.

	$1/3times180$

$=$	$1/3times180/1$	Convert to fraction form

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

$=$	$60$

Hence,

$33 1/3%$ of

$$180$ is $\underline{$60}$

$$60$

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Quiz summary

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1. Question

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2. Question

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Keep Going!

3. Question

Hint

Fantastic!

4. Question

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Nice Job!

5. Question

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Correct!

Transforming a Fraction from Mixed to Improper

Quizzes

	$4%times700$

$=$	$4/100times700/1$	Convert to fraction form

$=$	$4/1times7/1$	Simplify

$=$	$\frac{28}{1}$

$=$	$28$

	$27%times600$

$=$	$27/100times600/1$	Convert to fraction form

$=$	$27/1times6/1$	Simplify

$=$	$\frac{162}{1}$

$=$	$162$

	$35%times60$

$=$	$35/100times60/1$	Convert to fraction form

$=$	$35/10times6/1$	Simplify

$=$	$\frac{210}{10}$

$=$	$\frac{21}{1}$	Simplify

$=$	$21$

	$45%times2$

$=$	$45/100times2/1$	Convert to fraction form

$=$	$\frac{90}{100}$