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
5. Question
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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