They knew where to draw the line.
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Expressed as a decimal fraction, 5/10 is equal to 0.5.
Because most people find the simplest forms easier to understand. Also, if required to manipulate the fractions, it reduces the magnitudes of the numbers involved in the calculations.
135% is equal to 1.35 or 135/100.In order to simplify this fraction we must find the largest whole number that will divide in to both 135 and 100. (We do not necessarily have to do this in 1 step).We should be able to immediately see that both numbers will divide by 5. So if we divide top and bottom by 5 we get:27/20.Now we ask is there another whole number that will divide in to both 27 and 20 (giving a whole number as a result)? The answer is no. Therefore we have simplified this fraction as far as we can.So 135% as a fraction is 27/20.This is known as an improper or top heavy fraction. If we want to write this as a mixed number we ask, how many whole times will 20 go in to 27. The answer is once with 7 remaining. This is therefore written as 1 7/20.
Yes. Let me show you why.let's represent the number with the variable 'x'x = 0.4444...x * 10 = 10 * 0.4444...10x = 4.4444...- x = 0.4444...9x = 4x = 4/9Rational numbers by definition must be able to be represented by a fraction.
You wont be able to add a rational number and an irrational number and get a number not in a fraction ( 3 + 22/7) (21/7 + 22/7 = 43/7) So, yes as you see in the example above it made another irrational number.