I suppose you mean "reduced form". You divide the top and bottom by the same number until they have no factors in common. For example, 24/36 (divide the top and bottom by 12) = 2 / 3.
2007-05-07 16:27:43
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answer #1
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answered by Anonymous
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It depends what you mean by "standard form"
If it is a rational fraction, then it can be written as the ratio of two numbers p/q.
For example 1/3 or 6/10 or 45% (% simply means that you are dividing the number by one hundred, so that 45% = 45/100)
Next step is to make the numbers relatively prime, so that they have no common factor. This is called "simplifying" the fraction.
For example, 6 and 10 are both even, so they share a 2; we can remove that 2 from each
6/10 = 3/5
As you know, dividing something by 1 does not change its value. Also, 2/2 = 1 (so is 5/5, 734/734 and so on).
6/10 divided by 2/2 = (6/2)/(10/2) = 3/5
3 and 5 are relatively prime (they do not share a factor) so this fraction is now simplified.
45/100 = 9/20 (we removed the common factor 5).
You can also write many fraction as a decimal expansion: 3/5 = 6/10 = 0.6
45% = 45/100 = 0.45
However, some simple rational fraction do not have a finite decimal expansion, for example:
1/7 = 0.142857142857142857...
the sequence 142857 repeats forever.
So, decimal expansion is not a standard form for all rational fractions. But it is the best way to represent irrational fractions such as pi = 3.14159265358979... (which never repeats).
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Egyptian scribes used a standard form where the numerator (the number above) was always a 1 (the only exception they allowed was 2/3), so that our 3/8 of above would be written 1/4 + 1/8.
45% = 1/4 + 1/5
But that is not considered a standard form today (unless you are deciphering scriptures found in pyramids...)
2007-05-07 23:29:46
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answer #2
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answered by Raymond 7
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standard form for a fraction
if you are talking about simplifying a fraction (for example 4/6 = 2/3, then divide the numerator and denominator by a Common Divider (a number which both the numerator and denominator can be divded by). For example, for 4/6...both 4 and 6 are divisible by 2, therefore (4/2) / (6/2) = 2/3
standard form meaning scientific notation
a fraction should not be written in scientific notation (scientific notation is 2.3 x 10^4 for 23000). However, if it is necessary to write a fraction in scientific notation, almost always the exponent of 10 (called the degree) will be -1. (2/3 = .6667 = 6.667 x 10^-1)
standard form meaning equation of a line
the standard form for an equation of a line is y=mx+b. m = slope (rise / run) and b = y-intercept. if the slope of the line were a fraction (for example 2/3), that just means you rise the number on the numerator (2) and shift across the number on the denominator (3).
2007-05-07 23:28:41
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answer #3
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answered by Anonymous
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make it a decimal
2007-05-07 23:15:39
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answer #4
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answered by Eric 3
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