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Converting Whole Numbers To Fractions

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					  Converting Whole Numbers To Fractions
Converting Whole Numbers To Fractions

First, remember that 2 = 2/1. In other words any number over the number 1 will always be that
number.

For example :- 1 = 1/1, 2 = 2/1, 3 = 3/1 and so on. Now, had 2 = 4/2. First, 4/2 can be
reduced to 2/1, since you can divide 2 into both the numerator and the denominator.Always
check to see if the fraction can be reduced first. This makes the problem faster and easier to
solve.

More examples of reducing first are :- 6/3 = 2/1 since because the number is both the
numerator and the denominator. Then 2/1 = 2.
Try 6/2 = 3/1 = 3. You should understand by now.

Decimals are different but they all can be converted to fractions. When there is a decimal in a
number, any number to the right of the decimal is less than one. Any number to the left of the
decimal is equal to or greater than the number one.

For example: 0.5 = 5/10 = 1/2 when reduced. Also, in your problem you had 1.5 and this is the
same as 1.0 added to 0.5 and equals 1.5.
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Since 0.5 is equal to 1/2 and there are three 0.5's in 1.5 (0.5 + 0.5 + 0.5 = 1.5). Since 0.5 = 1/2
and there are three 0.5 then you have 3/2. In other words, you have 3 halves or 3(0.5) = 1.5.

Another simple way to understand a decimal conversion to fractions is to remember that every
number to the right of the decimal point is the fraction sincde it's always less than one. In your
problem 1.5,

you can also express it as 1.0 + 0.5 and further, you can make 1.0 = 0.5 + 0.5 and now you
have three of them.

For example: 0.5 = 1/2, 0.1 = 1/10, 0.2 = 2/10 = 1/5, 0.8 = 8/10 = 4/5.

Notice that with some of these fractions that they also reduced. You should unnderstand
everything by now and if you're still havinng trouble; you can e-mail me directly and I'll be glad
to help you more.

An integer and a fractional number can be compared. One number is either greater than, less
than or equal to the other number.

When comparing fractional numbers to whole number, convert the fraction to a decimal
number by division and compare the numbers.

To compare decimal numbers to a whole number, start with the integer portion of the
numbers. If one is larger then that one is the larger number. If they have the same value,
compare tenths and then hundredths etc.

If one decimal has a higher number in the tenths place then it is larger and the decimal with
less tenths is smaller.

If the tenths are equal compare the hundredths, then the thousandths etc. until one decimal is
larger or there are no more places to compare.
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The process that we used in the second solution to the previous example is called implicit
differentiation and that is the subject of this section.

In the previous example we were able to just solve for y and avoid implicit differentiation.
However, in the remainder of the examples in this section we either won’t be able to solve for
y or, as we’ll see in one of the examples below, the answer will not be in a form that we can
deal with.

In the second solution above we replaced the y with and then did the derivative. Recall that
we did this to remind us that y is in fact a function of x. We’ll be doing this quite a bit in these
problems, although we rarely actually write .

So, before we actually work anymore implicit differentiation problems let’s do a quick set of
“simple” derivatives that will hopefully help us with doing derivatives of functions that also
contain a .

Comparing this structure of a number with the definition of fractions that fractions are
expressed in form of p/q, where p and q are positive integers and surely here both 4 and 1 are
positive integers.

It also satisfies II property if Rational Numbers that denominator <> 0. Here we always have
denominator as 1 , which is never 0.

So we conclude that whole numbers can be expressed as fractions, by just introducing 1 to its
denominator.

Another observation comes that every whole number can be expressed in form of a fraction
but not necessary, that every fractions are whole numbers.

we conclude that the fractions , where the denominators are 1 can be expressed as whole
numbers but the complete set of fractions are not whole numbers.




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posted:5/19/2012
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