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Well, let's take a moment to appreciate the beauty of simplifying fractions. If we divide both the numerator and the denominator by their greatest common factor, which is 204, we get 1 over 2. Just like painting a happy little tree, simplifying fractions can bring a sense of peace and harmony to our mathematical world.
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What is 408 divided by 2?
0.0049
What 2 numbers can you multiply to get 204?
408
What is the easiest way to find the GCF?
I am asssuming that the numbers are too large for you to simply see them and "know" their GCF. The easiest way to find the GCF of 2 numbers is the Euclidean method. It is somewhat awkward to explain but once understood, is very easy to use. The idea here is to make the numbers that you are dealing with smaller and smaller so as to simplify the problem. Suppose you start with the two numbers p and q where p > q. Assume that they are not equal for if p = q, then their GCF is p (or q). The GCF of p and q is the same as the GCF of the smaller number, (say q), and p-q. Repeat this process and keep going until the two numbers are the same. So, for example, ket us try to find the GCF of 1836 and 1428 GCF(1836, 1428)] = GCF(1428, 1836-1428) = GCF(1428, 408) = GCF(408, 1428-408) = GCF(408, 1020) = GCF(408, 1020-408) = GCF(408, 612) = GCF(408, 612-408) = GCF(408, 204) = GCF(204, 408-204) = GCF(204, 204) The two numbers are the same so STOP! The answer is 204. It is not a particularly fast method, but it is simple: all you need to now is subtraction.
What is the multiple of 102?
102, 204, 306, 408, 510, 612, 714, 816, 918, 1020, 1122, 1224 etc
What is 0.408 as a fraction in its simplest form?
0.408 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. And, since it is a decimal fraction, there is not another simpler decimal form. Its equivalent, in rational form, is 408/1000 = 51/125.
