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Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 1Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 1
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Question 1 of 5
1. Question
Convert to a percentage`5 3/4`- `5 3/4 =` (575)`%`
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To convert mixed numbers into percentages, multiply the whole number and the fraction by `100`.Whole number`\text(Percentage)` `=` $$5\times100$$ `=` `500%` Fraction`\text(Percentage)` `=` $$\frac{3}{4}\times100$$ `=` $$\frac{3\times100}{4\times1}$$ `=` $$\frac{3\times25}{1\times1}$$ Simplify `=` `75%` Finally, add the two products to get the final percentage.`\text(Percentage)` `=` `500+75` `=` `575%` `575%` -
Question 2 of 5
2. Question
Convert to a percentage`27 7/10`- `27 7/10=` (2770)`%`
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To convert mixed numbers into percentages, multiply the whole number and the fraction by `100`.Whole number`\text(Percentage)` `=` $$27\times100$$ `=` `2700%` Fraction`\text(Percentage)` `=` $$\frac{7}{10}\times100$$ `=` $$\frac{7\times100}{10\times1}$$ `=` $$\frac{7\times10}{1\times1}$$ Simplify `=` `70%` Finally, add the two products to get the final percentage.`\text(Percentage)` `=` `2700+70` `=` `2770%` `2770%` -
Question 3 of 5
3. Question
Convert to a decimal`1/4%`- `1/4%=` (0.0025)
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When dividing decimals to values like `10, 100, 1000…`, simply move the decimal point to the left by the number of zeroes.Start by converting `1/4` into a decimal
Since `4` cannot go into `1`, write `0.` above it and add `0` so that `1` becomes `10`
Divide `10` by `4` and write the answer after the decimal
Multiply `2` to `4` and write the product below `10`
Subtract `8` from `10` and write the difference one line below
Since `4` cannot go into `2`, add `0` so that `2` becomes `20`
Divide `20` by `4` and write the answer after `0.2`
This means `1/5%` is equal to `0.25%`To convert a percentage to a decimal, divide the percentage value by `100`.Since the decimal is being divided by `100`, simply move the decimal point `2` places to the left.`\text(Decimal)` `=` $${0.25}\div100$$ 
Therefore, `1/4%` is equal to `0.0025``0.0025` -
Question 4 of 5
4. Question
Convert to a fraction`7 1/2%`Write fractions in the format “a/b”- `7 1/2%=` (3/40)
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A percentage describes an amount’s relation to a whole. Dividing it by `100` converts it into a fraction.`7 1/2%` can be converted to a fraction by having `100` as the percentage value’s denominator.`7 1/2%` `=` `(7 1/2)/(100)` Simplify the fraction further.`(7 1/2)/(100)` $$\frac{7{\frac{1}{2}}\color{#CC0000}{\times2}}{100\color{#CC0000}{\times2}}$$ Multiply the numerator and denominator by `2` $$\frac{15\color{#CC0000}{\div5}}{200\color{#CC0000}{\div5}}$$ Divide the numerator and denominator by `5` $$\frac{3}{40}$$ `3/40` -
Question 5 of 5
5. Question
Convert to a fraction`12 1/4%`Write fractions in the format “a/b”- `12 1/4%=` (49/400)
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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, change the mixed number into an improper fraction by multiplying the denominator by the whole number and then adding the numerator$$\color{#00880A}{12}\frac{\color{#007DDC}{1}}{\color{#9a00c7}{4}}$$ `=` $$\frac{(\color{#9a00c7}{4}\times\color{#00880A}{12})+\color{#007DDC}{1}}{\color{#9a00c7}{4}}$$ `=` $$\frac{48+1}{4}$$ `=` $$\frac{49}{4}\%$$ Then, convert the percentage to a fraction by having `100` as the percentage value’s denominatorDividing fractions is the same as multiplying the dividend by the divisor’s reciprocal`\text(Fraction)` `=` $$\frac{\frac{49}{4}}{\color{#CC0000}{100}}$$ `=` $$\frac{49}{4}\div{\color{#CC0000}{100}}$$ Change from a fraction to division `=` $$\frac{49}{4}\times\frac{1}{100}$$ Get the divisor’s reciprocal then multiply `=` $$\frac{49}{400}$$ `49/400`
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- Increase and Decrease an Amount by a Percent – Word Problems 1
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- Percent of an Amount – Word Problems 3
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