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Mixed Number to Percent Calculator

Mixed Number to Percent


Answer:
\[ 3\frac{3}{4} = 3.75 = 375\% \]Solution 1
\[ 3\frac{3}{4} = 3 + \frac{3}{4} \]\[ = \frac{3}{1} + \frac{3}{4} \]\[ = \left(\frac{3}{1} \times \frac{4}{4} \right) + \frac{3}{4} \]\[ = \frac{12}{4} + \frac{3}{4} = \frac{15}{4} \]\[ = 15 \div 4 = 3.75 \]Convert the Decimal to a Percent:\[ = 3.75 \times 100 = 375\% \]Solution 2
\[ 3\frac{3}{4} = 3 + \frac{3}{4} \]\[ 3 + (3 \div 4) \]\[ 3 + 0.75 = 3.75 \]Convert the Decimal to a Percent:\[ = 3.75 \times 100 = 375\% \]

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Calculator Use

Convert mixed numbers, fractions or integers to percents. This online calculator will convert a mixed number to an improper fraction, reduce that fraction if it can be reduced, then perform the division of the numerator by the denominator to find the decimal equivalent of the mixed number. Finally, it will convert the decimal to a percent. You can enter mixed numbers, fractions or integers.

How to convert a mixed number to a percent

A mixed number such as 2 3/4 can be converted to a decimal, and then to a percentage. It is implied that 2 3/4 is really 2 + 3/4 and that 2 = 2/1. Therefore we are just adding the fractions 2/1 + 3/4. Since 4 is the denominator of the original fraction part we will use it as our common denominator. 2/1 * 4/4 = 8/4. Then, 8/4 + 3/4 = 11/4. 11/4 = 11 ÷ 4 = 2.75. Converting the decimal to a percent we multiply by 100, so 2.75 * 100 = 275%.

2 3/4 = 2/1 + 3/4 = 8/4 + 3/4 = 11/4 = 11 ÷ 4 = 2.75; 2.75 * 100 = 275%

As you may have noticed, 2.75 is just the whole part of 2 3/4 added to 3 ÷ 4 = 0.75. This is certainly another valid approach to converting mixed numbers to decimals. Just be aware of mixed numbers that contain improper fractional parts. For example, 7 5/4 can be converted in 2 different ways:

7 5/4 = 7/1 + 5/4 = 28/4 + 5/4 = 33/4 = 33 ÷ 4 = 8.25 or 825%, or

7 5/4 = 7 + (5 ÷ 4) = 7 + 1.25 = 8.25 or 825%



 

Cite this content, page or calculator as:

Furey, Edward "Mixed Number to Percent Calculator"; from http://www.calculatorsoup.com - Online Calculator Resource.

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