The fraction becomes smaller: provided the denominator was positive.
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For any percentage to be written as a fraction it is simply over a denominator of 100 (/100). So in this case 4.75/100, but in order to be written with no decimals, the numerator can be written as the fraction 19/4, which when put over the hundred, your fraction becomes 19/4/100 or 19/400 <- this is your fractional notation for 4.75% I don't know what wizard trickery occurred above, but to simplify to find a fraction of a percentage put the percent over 100. there there is a decimal in the numerator you must multiply the fraction by 100/100 (equals 1) for each place you need to move the decimal. In the case at hand the decimal needs to be moved 2 places to you add 2 places to the numerator and denominator. In the numerator the 2 places means the decimal moves 2 to the right and goes away, in the denominator 2 places means that 2 zeros are added. then just simplify by dividing by a common denominator, in this case 25. to illustrate 4.75% = 4.75/100 which must become 475/10000 (by moving the numerator and the denominator 2 places each) then divide by the least common denominator 25 leads to (475/25)/(10000/25) equals 19/400.
Well, honey, in math, two negatives in a fraction do indeed equal a positive. It's like when you owe someone money, and then owe them more money - suddenly you're in the green! So yes, in the world of math, two negatives make a positive when you're dividing.
There are three different situations, corresponding to the three types of decimal numbers: terminating, repeating and those which are neither terminating nor repeating. Terminating: If the decimal number has d digits after the decimal point, then rename it as a fraction whose numerator is the decimal number without the decimal point, and the denominator is 10d or 1 followed by d zeros. For example, 34.567 d = 3 so the denominator is 1000. and the fraction is 34567/1000. Repeating: Until you become expert at this I suggest you do this in two stages (using c and d separately). Suppose there are c digits after the decimal place where the digits are non-repeating, after which you get a repeating pattern of a string of d digits. Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is 10c*(10d - 1), which is a string of d 9s followed by c 0s. For example 123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3. So the numerator is 12326159 – 12326 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900. Non-terminating and non-repeating: There is no way to get a proper fraction since, by definition, this is an irrational number. The best that you can do is to round it to a suitable number of digits and then treat that answer as a terminating decimal. In all cases, you should check to see if the fraction can be simplified.
First, let's ignore the negative for now. In order to change a decimal to a fraction, you must multiply the decimal to where the decimal will becomes a whole number. The number that is used to make the decimal whole, will become the denominator. Since the decimal stretches to the thousandths place, you would multiply the number by 1000. Step 1: Change .375 to a whole number by multiplying by 1000. .375x1000=375. So 375 is the numerator and 1000 is the denominator=375/1000. Step 2: Reduce the fraction: the common denominator I see is 5. So: 375/5=75 and 1000/5=200. Now the fraction reads 75/200 75/5=15 and 200/5=40. Now the fraction reads 15/40 and it still can be reduced by 5. 15/5=3 and 40/5=8. The fraction reads 3/8. Now there isn't any more multiples so all we have to do is place a negative to the number. The answer is -3/8.
Please excuse my past self for my bad english skills, but I have edited my mistakes and included a few more tips along with the basic structures.You can easily change an improper fraction into a percent, the steps are very simple to follow: Divide the numerator by the denominator, multiply that by 100, and convert the decimal point into a %.Example:The fraction in this example is 5/4 with 5 as the numerator and 4 as the denominator. First, divide the numerator by the denominator.(5/4) = 1.25Move the original decimal two digits to the right.1.25 -> 125.After that is done, simply turn the decimal into a percentage .125. -> 125%Done!Or if you'd rather view this example the quicker way...Fraction: 5/45 divided by 4 = 1.25Move the decimal two digits to the right, it will then become a %.More specifically, 125%On the other hand, for decimals with longer digits after the point, you would keep the decimal and also add a percentage sign at the end of the number, no matter how bizarre the new value may look.Example:Number: 4.375Move the decimal two digits to the right.4.375 -> 437.5Change the decimal point into a percent sign.437.5%This should clear up any mishaps and misunderstandings, but it's always healthy to ask questions.