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Calculator Use
Convert mixed numbers or mixed fractions to percents. The mixed number to percentage calculator finds the decimal equivalent by finding the decimal value of the fraction, adding the decimal to the whole number part of the mixed number, and multiplying by 100 to get the percent. Shows the work to change the mixed number to a percent.
How to Convert a Mixed Number to a Percentage
Follow these 3 steps to convert a mixed number to a percent:
- Convert the fraction part of the mixed number to a decimal: Divide the numerator by the denominator
- Add the decimal to the whole number part of the mixed number
- Convert the decimal to a percent: Multiply the decimal number by 100
A mixed number is a whole number plus a fraction. You can convert fraction part of the mixed number to a decimal and then multiply by 100 to get the percent value. Alternatively you can convert mixed number to an improper fraction, and then convert it to a decimal by dividing numerator by denominator. Finally, multiply the decimal by 100 to find the percent value.
Example: Convert the mixed number 2 3/4 to a percentage
- Convert the fraction part of the mixed number to a decimal. Divide the numerator by the denominator:
3 / 4 = 0.75 - Add the decimal to the whole number part of the mixed number:
2 + 0.75 = 2.75 - Convert the decimal to a percent. Multiply the decimal number by 100:
2.75 * 100 = 275%
- Convert the fraction part of the mixed number to a decimal. Divide the numerator by the denominator:
3 / 4 = 0.75 - Add the decimal to the whole number part of the mixed number:
2 + 0.75 = 2.75 - Convert the decimal to a percent. Multiply the decimal number by 100:
2.75 * 100 = 275%
Secondary Method: Convert a Mixed Number to a Percent by Fraction Addition
You can also convert a mixed number to a percentage using fraction addition. First convert the whole number part of the mixed number to an improper fraction and add it to the fraction part of the mixed number. Then divide numerator by denominator and multiply by 100 to get the percent value.
Example: Convert the mixed number 7 1/5 to a percentage using fraction addition
- 7 1/5 = 7/1 + 1/5
- 7 1/5 = (7/1 * 5/5) + 1/5
- 7 1/5 = 35/5 + 1/5
- 7 1/5 = 36/5
- 7 1/5 = 7.2
- Multiply by 100 to get percent value: 7.2 * 100 = 720%
Related Calculators
See the Mixed Number to Improper Fraction Calculator to convert a mixed number to an improper fraction.
See the Decimal to Percent Calculator to convert a decimal to a percentage value.
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Calculator Use
Convert decimals to percentages with this calculator. Input a decimal number to convert both the whole number and decimal part of the number to a percent value.
How to Convert a Decimal to Percent:
Multiply by 100 to convert a number from decimal to percent then add a percent sign %.
- Converting from a decimal to a percentage is done by multiplying the decimal value by 100 and adding %.
- Example: 0.10 becomes 0.10 x 100 = 10%
- Example: 0.675 becomes 0.675 x 100 = 67.5%
- The shortcut to convert from decimal to percent is to move the decimal point 2 places to the right and add a percent sign.
How to Convert a Percent to a Decimal:
Divide by 100 to convert a percent to a decimal and remove the percent sign %.
- Converting from a percent to a decimal is done by removing the percent sign % and dividing the value by 100.
- Example: 15.6% becomes 15.6 / 100 = 0.156
- Example: 235% becomes 235 / 100 = 2.35
- The shortcut to convert from a percent to a decimal is to move the decimal point 2 places to the left and remove the percent sign.
Express 0.5 as a percent
The mathematical process in converting a decimal to a percent is as follows:
Nch pixillion plus 7 00 download free. Convert 0.5 to a percent:
'Percent' means 'per 100' or 'over 100'. So, to convert 0.5 to percent we rewrite 0.5 in terms of 'per 100' or over 100.
Multiply 0.5 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.
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[ frac{0.5}{1} times frac{100}{100} = frac{50}{100} ]50/100 is 50 over 100 and means 50 per 100.
50 'per 100' means 50 'percent' or 50%.
Therefore, we have shown that
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Related Calculators
To convert a percent to a decimal see the Percent to Decimal Calculator.
References
Khan Academy: Converting decimals to percents: 0.601; Note: All Khan Academy content is available for free at www.khanacademy.org
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Cite this content, page or calculator as:
Ink2go 1 8 0 Percent Free
Furey, Edward 'Decimal to Percent Calculator' at https://www.calculatorsoup.com/calculators/math/decimal-to-percent-calculator.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators