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Convert Mixed Numbers, Mixed Fractions and Fraction Percentages>
Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 2Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 2
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Question 1 of 5
1. Question
Convert to a percentage`12 3/5`- `12 3/5 =` (1260)`%`
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To convert mixed numbers into percentages, multiply the whole number and the fraction by `100`.Whole number`\text(Percentage)` `=` $$12\times100$$ `=` `1200%` Fraction`\text(Percentage)` `=` $$\frac{3}{5}\times100$$ `=` $$\frac{3\times100}{5\times1}$$ `=` $$\frac{3\times20}{1\times1}$$ Simplify `=` `60%` Finally, add the two products to get the final percentage.`\text(Percentage)` `=` `1200+60` `=` `1260%` `1260%` -
Question 2 of 5
2. Question
Convert to a decimal`15 1/5%`- `15 1/5%=` (0.152)
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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 `1/5` into a decimal using long division
Since `5` cannot go into `1`, write `0.` above it and add `0` so that `1` becomes `10`
Divide `10` by `5` and write the answer after the decimal
This means `15 1/5%` is equal to `15.2%`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)` `=` $${15.2}\div100$$ 
Therefore, `15 1/5%` is equal to `0.152``0.152` -
Question 3 of 5
3. Question
Convert to a decimal`37 1/8%`- `37 1/8%=` (0.37125)
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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 `1/8` into a decimal
Since `8` cannot go into `1`, write `0.` above it and add `0` so that `1` becomes `10`
Divide `10` by `8` and write the answer after the decimal
Multiply `1` to `8` and write the product below `10`
Subtract `8` from `10` and write the difference one line below
Since `8` cannot go into `2`, add `0` so that `2` becomes `20`
Divide `20` by `8` and write the answer after `0.1`
Multiply `2` to `8` and write the product below `20`
Subtract `16` from `20` and write the difference one line below
Since `8` cannot go into `4`, add `0` so that `4` becomes `40`
Divide `40` by `8` and write the answer after `0.12`
This means `37 1/8%` is equal to `37.125%`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)` `=` $${37.125}\div100$$ 
Therefore, `37 1/8%` is equal to `0.37125``0.37125` -
Question 4 of 5
4. Question
Convert to a fraction`33 1/3%`Write fractions in the format “a/b”- `33 1/3%=` (1/3)
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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$$\color{#00880A}{33}\frac{\color{#007DDC}{1}}{\color{#9a00c7}{3}}$$ `=` $$\frac{(\color{#9a00c7}{3}\times\color{#00880A}{33})+\color{#007DDC}{1}}{\color{#9a00c7}{3}}$$ `=` $$\frac{99+1}{3}$$ `=` $$\frac{100}{3}\%$$ 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)` `=` $$\frac{\frac{100}{3}}{\color{#CC0000}{100}}$$ `=` $$\frac{100}{3}\div{\color{#CC0000}{100}}$$ Change from a fraction to division `=` $$\frac{100}{3}\times\frac{1}{100}$$ Get the divisor’s reciprocal then multiply `=` $$\frac{1}{3}$$ Simplify `1/3` -
Question 5 of 5
5. Question
Convert to a fraction`4/5%`Write fractions in the format “a/b”- `4/5%=` (1/125)
Hint
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A percentage describes an amount’s relation to a whole. Dividing it by `100` converts it into a fraction.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)` `=` $$\frac{\frac{4}{5}}{\color{#CC0000}{100}}$$ `=` $$\frac{4}{5}\div{\color{#CC0000}{100}}$$ Change from a fraction to division `=` $$\frac{4}{5}\times\frac{1}{100}$$ Get the divisor’s reciprocal then multiply `=` $$\frac{4}{500}$$ `=` $$\frac{1}{125}$$ Simplify `1/125`
Quizzes
- Percent from a Graph (Visual) 1
- Percent from a Graph (Visual) 2
- Percent from a Graph (Visual) 3
- Convert Between Percentages, Fractions and Decimals 1
- Convert Between Percentages, Fractions and Decimals 2
- Convert Between Percentages, Fractions and Decimals 3
- Convert Between Percentages, Fractions and Decimals 4
- Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 1
- Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 2
- Percent of an Amount 1
- Percent of an Amount 2
- Increase and Decrease an Amount by a Percent 1
- Increase and Decrease an Amount by a Percent – Word Problems 1
- Increase and Decrease an Amount by a Percent – Word Problems 2
- Increase and Decrease an Amount by a Percent – Word Problems 3
- Percent of Change
- Percent of Change – Word Problems
- Percent of an Amount – Word Problems 1
- Percent of an Amount – Word Problems 2
- Percent of an Amount – Word Problems 3
- Find Base from Percent of an Amount (Unitary Method) 1
- Find Base from Percent of an Amount (Unitary Method) 2
- One Amount as a Percentage of Another Amount
- Find Original Amount Before Percent Change (Unitary Method)
- Depreciation