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


You are watching: 5/16 as a percent

Solution by converting to not correct Fraction\< 2\frac58 = 2 + \frac58 \>\< = \frac21 + \frac58 \>\< = \left(\frac21 \times \frac88 \right) + \frac58 \>\< = \frac168 + \frac58 = \frac218 \>We know that \< \frac218 \>is the very same as \< 21 \div 8 \>Then usingLong department for 21 separated by 8 offers us \< = 2.625 \>Convert the decimal come a percent:\< 2.625 \times 100 \> and rounding to a Max that 2 Decimal Places\< = 262.5\% \>
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Calculator Use

Convert combined numbers or combined fractions come percents. The blended number to portion calculator find the decimal identical by finding the decimal value of the fraction, including the decimal to the totality number part of the combined number, and multiplying by 100 to get the percent. Mirrors the occupational to change the blended number to a percent.

How to transform a blended Number to a Percentage

Follow these 3 procedures to transform a blended number come a percent:

convert the fraction part that the mixed number to a decimal: divide the molecule by the denominator add the decimal come the totality number part of the blended number convert the decimal to a percent: main point the decimal number by 100

A combined number is a totality number add to a fraction. You can convert portion part that the mixed number come a decimal and also then multiply by 100 to get the percent value. Conversely you can transform mixed number to an improper fraction, and also then transform it come a decimal by separating numerator through denominator. Finally, main point the decimal by 100 to discover the percent value.

Example: transform the mixed number 2 3/4 come a percentage

convert the fraction part that the blended number to a decimal. Division the numerator by the denominator: 3 / 4 = 0.75 add the decimal come the whole number component of the blended number: 2 + 0.75 = 2.75 transform the decimal come a percent. Main point the decimal number by 100: 2.75 * 100 = 275%

Secondary Method: transform a combined Number to a Percent by portion Addition

You can also convert a combined number to a percentage using fraction addition. First convert the whole number component of the combined number come an improper portion and include it come the fraction part that the blended number. Then division numerator by denominator and multiply by 100 to acquire the percent value.

Example: transform the mixed number 7 1/5 come a portion 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 get percent value: 7.2 * 100 = 720%

Related Calculators

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

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