Usually, human being use fountain to represent numbers smaller than one: 3/4, 2/5 and the like. However if the number on top of the portion (the numerator) is bigger than the number on the bottom that the fraction (the denominator), the fraction represents a number bigger than one, and you can write it either together a whole number or together a combination of a entirety number and also a decimal or a fraction remainder.

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To uncover the entirety number concealed in an not correct fraction, remember that the fraction represents division. So, if you have actually a fraction like:


There is no whole number in the fraction, due to the fact that the numerator was smaller sized than the denominator, which method the an outcome will always be much less than one. But if the numerator and also denominator were the same, you"d gain a totality number. Because that example:


If the molecule of a fraction is a many of the denominator, the result will constantly be a totality number: because that example,


What if the numerator of your portion is bigger 보다 the denominator – for this reason you understand there"s a whole number in over there somewhere – however it"s not specific multiple of the denominator. Girlfriend still use the exact same technique: carry out the division that the portion represents. So, if your fraction is


Depending on the function behind her calculations, friend might have the ability to leave the answer in decimal form, or you might need to express the an outcome as a mixed number, which is a mix of the totality number (in this case, 2) and also the spring remainder.


If you have to put the an outcome of the over example, 11 ÷ 5 = 2.2, right into mixed number form, there are two means of going around it. If you already have the decimal result, simply write the decimal component of the number together a fraction. The numerator of the fraction is whichever digits space to the appropriate of the decimal allude – in this case, 2 – and also the denominator the the fraction is the location value of the number that"s furthest come the ideal of the decimal. The "2" is in the tenths spot, therefore the denominator of the portion is 10, providing us 2/10. You deserve to simplify that portion to 1/5, so your complete result in mixed number type is:


You can also calculate the fountain reminder of a mixed number without converting it come a decimal first. In that case, when you job-related out the totality number, just write that number together a fraction with the very same denominator as your early fraction, then subtract the an outcome from the initial fraction. The result is your fractional reminder. This renders a lot an ext sense when you see an example so, again, let"s think about the example of 11/5. Also if you job-related out the division longhand, you"ll see quickly that the prize is two-something. Writing the 2 as a portion with the exact same denominator offers you 10/5. Subtracting that from the original fraction gives you


So 1/5 is her fractional remainder. Once you write your last answer, don"t forget to give the totality number, too:


together you progress in math, you"ll see that fountain can also represent negative values. In that situation you deserve to still use this method to discover the "whole numbers" surprise in the fraction. But the very certain math hatchet "whole numbers" only uses to zero and positive numbers. So, if the an outcome is eventually a an unfavorable number, girlfriend can"t call it a totality number. Instead, you must use the suitable math term for both hopeful ​and​ negative whole numbers: integers.


Lisa studied math at the college of Alaska, Anchorage, and also spent number of years tutoring high school and university students through scary -- but fun! -- mathematics subjects prefer algebra and also calculus.

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