You are watching: How to write a mixed number as a percent

Solution by convert to not correct Fraction< 2frac58 = 2 + frac58 >< = frac21 + frac58 >< = left(frac21 imes frac88 ight) + frac58 >< = frac168 + frac58 = frac218 >We recognize that < frac218 >is the very same as < 21 div 8 >Then usingLong department for 21 split by 8 provides us < = 2.625 >Convert the decimal to a percent:< 2.625 imes 100 > and rounding come a Max that 2 Decimal Places< = 262.5\% >

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## Calculator Use

Convert combined numbers or mixed fractions to percents. The combined number to portion calculator finds the decimal tantamount by detect the decimal value of the fraction, including the decimal come the whole number component of the combined number, and multiplying by 100 to obtain the percent. Reflects the occupational to change the combined number come a percent.

## How to transform a blended Number to a Percentage

Follow this 3 steps to convert a mixed number come a percent:

convert the fraction part that the combined number to a decimal: divide the numerator by the denominator include the decimal come the totality number component of the combined number convert the decimal come a percent: main point the decimal number through 100A blended number is a entirety number to add a fraction. You deserve to convert fraction part of the blended number come a decimal and then main point by 100 to obtain the percent value. Alternatively you can transform mixed number come an wrong fraction, and also then convert it come a decimal by splitting numerator by denominator. Finally, main point the decimal by 100 to discover the percent value.

### Example: convert the mixed number 2 3/4 to a percentage

transform the fraction part the the blended number come a decimal. Division the numerator by the denominator: 3 / 4 = 0.75 include the decimal to the totality number component of the combined number: 2 + 0.75 = 2.75 transform the decimal come a percent. Multiply the decimal number by 100: 2.75 * 100 = 275%## Secondary Method: transform a combined Number come a Percent by fraction Addition

You can likewise convert a combined number to a percentage using portion addition. An initial convert the totality number part of the blended number come an improper fraction and add it come the portion part of the combined number. Then divide numerator by denominator and multiply through 100 to get the percent value.

### Example: transform the blended number 7 1/5 to a percent using portion 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 main point by 100 to obtain percent value: 7.2 * 100 = 720%## Related Calculators

See the blended Number to Improper portion Calculator to convert a blended number to an wrong fraction.

See the Decimal come Percent Calculator to transform a decimal come a percentage value.