improper fractions andc onverting mixed numbers and decimals new

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An improper fraction is a fraction where the numerator is larger or greater than the denominator. An example would be:

	A useful and important concept is learning how to take an improper fraction and convert it to a mixed number. Knowing that a fraction is, in essence, a division problem, makes the concept not only simple, but very rational. In other words, it makes SENSE! So, follow along…

$improperfractions1$

Step 1: Mark the numerator.

$improperfractions2$

Step 2: 'Flip' the mark over. Now your dividend and divisor are in place.

Step 2: 'Flip' the mark over. Now your divide. We are using short-cut division here and doing the subtraction and re-grouping in our heads. The remainder is placed up along the top of the number (it looks like an exponent but it is NOT an exponent).

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remainder of 1 is the numerator

Step 3: Take the remainder. In this case, the remainder was 1. This now becomes the numerator. The denominator remains the same (4).

original denominator remains the same (4)

$improperfractions2b$

Step 4: Put the fraction next to the whole number. You now have your answer! You have converted an improper fraction into a mixed number.

			Let's say you have already done all the work above and you want to convert that fractional amount into a decimal. WELL, you've already done all the 'hard' work…you just need to change that remainder into a decimal! Yep, that's it! The fractional remainder is what becomes the decimal amount. Let's get to it, shall we?
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Step 1: Leave the whole number (2) alone. You only need to work with the fraction. Just like when converting an improper fraction to a mixed number, you need to mark the numerator.
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		Marking the numerator helps you separate the dividend from the divisor.
				dividend

				divisor

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	Step 2: Flip the mark over.

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	Step 3: Place a decimal point above the division bar. Include a decimal AND several zeroes for place-holders AFTER the dividend (in this case, the 1). The zeroes do not add any value; they are simply place-holders.

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	Step 4: Divide, just like you normally would. The example shows the short-cut division where the remainders are placed within the dividend. When you have NO remainder, then you are finished!

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	Step 5: Tack the decimal onto the whole number. 2.25 and you're done!


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