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What is a fraction inbetween 0.5 and 0.75?

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6 Answers

0.5 = 1/2 = 2/4 = 4/8 = 8/16 = 16/32…
0.75 = 3/4 = 6/8 = 12/16 = 24/32…
 
Then you can easily find the fractions in between are: 5/8, 9/16, 11/16, 17/32, 19/32, 21/32, 23/32...

Hi Urmom,

                  The best way to compare fractions would be to make them have like denominators.  We first , in this case, need to convert from decimal to fraction. 

                 Converting decimals to fractions first requires an understanding of the decimal places that fall after the decimal.  One place after the decimal is the tenths place.  If you have a decimal that ends at one place after the decimal (or in the tenths place) it can be written as the number after the decimal in the top of the fraction and ten (tenths place) in the denominator.  ex.   .5 ends one place after the decimal and can be written as 5/10...(read as five tenths).

If a decimal ends at two places after the decimal...(ex.   .75)...it ends in the hundredths place, can be written as that number in the numerator and 100 in the denominator....(ex  75/100) and is read as seventy-five hundredths. 

one place after the decimal is tenths (over 10), two places is hundredths (over 100), three places is thousandths (over 1000) , four places ten-thousandths (over 10000) and so on.

Because each decimal in your problem has a different amount of decimal places, it makes for different denominators. But, We can add a zero to the end of a decimal without changing it's value; if we add a zero to the end of .5 and make it .50 , we then can write it as 50/100 and would now have like denominators.

if .5 = .50 = 50/100 and .75 = 75/100

we now have the question what fractions can fall between 50/100 and 75/100. 

That would be fractions such as 51/100, 52/100, 53/100.......74/100.

Hope this helps....Lyn

Here is my favorite theorem for, because it solves this problem quickly:

If a/b < c/d and a,b,c,d are all positive then

a/b < (a+c) / (b+d) < c/d

For example, one fraction between 0.5 = 1/2 and 0.75 = 3/4 is

(1+3) / (2+4) = 4/6 = 2/3

Pick any decimal between 0.5 and 0.75, and convert it into fraction. That fraction is the answer.

For example, 0.7 = 7/10, .71 = 71/100 etc.

The simpliest way to answer this question is use what you already know. .5 is 50% and .75 is 75% so any fraction that falls between the two would be a correct answer. 6/10, which is 60%, 7/10, which is 70% and  3/5,which is also 60 % but is the reduced fraction for 6/10.  Then you can also take any of these and multiply both numerator and denominator by the same number to get addittional answers. For example take 3/5 x 3/3= 9/15 this is equivalent to three fifths but is another fraaction that will answer this question.

3/5 = 0.6

WORK IT OUT : 3/5 = x/100

Cross Multiply    3 x100=300   AND   5 (x) x = 5x

300=5x

Divide.  300/5=60

Answer =.60