If you want to round to the nearest whole number then start with 33.3 – the final 3 is lower than 5 so we leave the last whole 3 as a 3. Multiply this number by the nominator: 33.333… × 1 = 33.333….With the above in mind, here are each of the thirds fractions shown as a percentage and the workings behind the answer. The number at the end of this figure is a 9 – it is higher than 5 so we round down up 6.847. If the number to shorten was 6.84690876153 then the number that is one decimal place longer than where we want to end, 6.8469. The number at the end of this figure is a 1 – it is lower than 5 so we round down to 6.846. We start with the number that is one decimal place longer than where we want to end, 6.8461.
Here’s an example, let’s shorten 6.84610876153 to three decimal places. To do this you look at the value of the number to the right of the decimal place you want to end with if this number is less than five you leave your final number as it is, if the number is more than five then you increase your final number by one. You can use a method called rounding to shorten any number that has a lot of decimal places, including recurring decimals. This is more easily visualised when you look at dividing the number ten by three.ġ0 ÷ 3 = 3 with 1 left over – so now divide the 1 that is left by threeġ ÷ 3 = 0.3 with 0.1 left over – so now divide the 0.1 that is left by threeĠ.1 ÷ 3 = 0.03 with 0.01 left over – so now divide the 0.01 that is left by threeĠ.01 ÷ 3 = 0.003 with 0.001 left over – so now divide the 0.001 that is left by three…Ĭan you see that we are in a never ending run of division, with an amount left over that decreases by a decimal place each time? You could continue this run of division for ever and you would not reach a final amount – it is an infinitely repeating pattern so it is known as a recurring value. When you see a decimal amount that has three dots at the end it means that it is a recurring value.
The fourth item in the list above contains a special value. Multiply the numerator by the percentage value of each piece to show the fraction as a percent.Every top number in the fraction (the numerator) represents one third of 100%.One apple is 100% of the apple – so let’s cut the percentage value for a whole (100) into 3 pieces as well!.Imagine you have an apple and you cut it into three pieces – each piece is one third of the apple.The bottom number (the denominator) in all thirds fractions is 3.So when you show 100% as thirds you split 100 into three equal parts and multiply this number by the number of thirds in your fraction. When you divide one into thirds you split the whole amount (1) into three parts. The fractions that are output in this field are always whole number fractions,Īnd may be displayed in integer format, or in scientific notation format.When you want to show a fraction as a percentage just remember that 100% is a whole amount – in decimal terms it can be shown as the number 1. The converter displays Mixed Number Fractions in another field, but never in this field. The fractions that are output by the converter in this field may be Proper Fractions or Improper Fractions. The input Mixed-Fractions must be of this form:Ī-b/c Proper Fraction Examples 357 / 5000 8E+2 / 3141.5 Improper Fraction Examples 5000 / 357 3.1415e3 / 800 Mixed Number Fraction Examples 5 + 357 / 5000 1.0e6 + 5498 / 36.125E4 Fraction Output Format The input fraction cannot contain negative terms. The input fraction can be a Proper Fraction, an Improper Fraction, The input fraction may contain whole numbers, decimal numbers, and These results are shown in the other fields of the converter. The fraction is also converted to a Mixed Number Fraction. The fraction is also converted to a Percent.
The fraction you entered is converted to a Decimal. Fraction Input-Output Field Fraction InputĮnter a fraction in the Fraction input field, and press Enter or Return on your keyboard or keypad,
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