Usually, world use fountain to stand for numbers smaller than one: 3/4, 2/5 and the like. Yet if the number on height of the portion (the numerator) is bigger than the number ~ above the bottom of the fraction (the denominator), the fraction represents a number bigger 보다 one, and also you can write it either as a totality number or together a combination of a totality number and a decimal or a portion remainder.

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


There is no totality number in the fraction, because the numerator was smaller than the denominator, which method the result will constantly be much less than one. However if the numerator and denominator were the same, you"d gain a totality number. Because that example:


If the molecule of a portion is a multiple of the denominator, the result will constantly be a whole number: for example,


What if the molecule of your fraction is bigger than the denominator – therefore you know there"s a totality number in there somewhere – however it"s not precise multiple the the denominator. You still usage the exact same technique: execute the division that the fraction represents. So, if your portion is


Depending on the purpose behind your calculations, you might be able to leave the answer in decimal form, or you might need to express the an outcome as a mixed number, i beg your pardon is a combination of the totality number (in this case, 2) and also the spring remainder.


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


You can additionally calculate the spring reminder the a combined number there is no converting it come a decimal first. In that case, when you work out the totality number, simply write that number as a portion with the same denominator as your early stage fraction, then subtract the result from the early stage fraction. The an outcome is her fractional reminder. This makes a lot much more sense once you see an example so, again, let"s think about the example of 11/5. Even if you occupational out the division longhand, you"ll see quickly that the prize is two-something. Composing the 2 together a fraction with the very same denominator offers you 10/5. Subtracting the from the original portion gives you


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


together you development in math, you"ll check out that fountain can additionally represent an adverse values. In that situation you can still usage this an approach to uncover the "whole numbers" covert in the fraction. However the very details math hatchet "whole numbers" only applies to zero and also positive numbers. So, if the result is eventually a negative number, friend can"t contact it a totality number. Instead, you must use the ideal math term for both confident ​and​ negative whole numbers: integers.


Lisa studied mathematics at the college of Alaska, Anchorage, and spent numerous years tutoring high school and university students with scary -- however fun! -- mathematics subjects like algebra and also calculus.

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