\< 2 \frac58 = 262.5\% \>Solution by Separating the Parts\< 2\frac58 = 2 + \frac58 \>We recognize that \< \frac58 \>is the very same as \< 5 \div 8 \>Therefore:\< 2\frac58 = 2 + (5 \div 8) \>Then usingLong division for 5 split by 8we have\< = 2 + 0.625 = 2.625 \>Converting ours number come a percentage:\< 2.625 \times 100 \>\< = 262.5\% \>


You are watching: 6 is 5 percent of what number

Solution by convert to improper Fraction\< 2\frac58 = 2 + \frac58 \>\< = \frac21 + \frac58 \>\< = \left(\frac21 \times \frac88 \right) + \frac58 \>\< = \frac168 + \frac58 = \frac218 \>We understand that \< \frac218 \>is the very same as \< 21 \div 8 \>Then usingLong division for 21 divided by 8 provides us \< = 2.625 \>Convert the decimal to a percent:\< 2.625 \times 100 \> and rounding to a Max of 2 Decimal Places\< = 262.5\% \>
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Calculator Use

Convert combined numbers or mixed fractions come percents. The blended number to percentage calculator find the decimal tantamount by finding the decimal worth of the fraction, adding the decimal to the totality number component of the blended number, and also multiplying by 100 to get the percent. Reflects the occupational to adjust the mixed number to a percent.

How to transform a blended Number to a Percentage

Follow this 3 actions to convert a blended number to a percent:

transform the portion part of the mixed number to a decimal: divide the molecule by the denominator include the decimal to the entirety number component of the mixed number convert the decimal to a percent: main point the decimal number through 100

A blended number is a whole number add to a fraction. You can convert portion part the the combined number to a decimal and also then main point by 100 to obtain the percent value. Alternatively you can convert mixed number to an wrong fraction, and also then convert it to a decimal by dividing numerator by denominator. Finally, multiply the decimal through 100 to discover the percent value.

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

convert the portion part of the combined number to a decimal. Divide the molecule by the denominator: 3 / 4 = 0.75 add the decimal to the totality number component of the blended number: 2 + 0.75 = 2.75 transform the decimal to a percent. Multiply the decimal number by 100: 2.75 * 100 = 275%

Secondary Method: convert a blended Number come a Percent by fraction Addition

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

Example: convert the combined number 7 1/5 to a percentage 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 multiply by 100 to acquire percent value: 7.2 * 100 = 720%

Related Calculators

See the combined Number to Improper fraction Calculator to transform a mixed number come an wrong fraction.

See the Decimal to Percent Calculator to transform a decimal to a percent value.