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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