fractions

[grl4christ]

I'm home schooled and need help with changing fractions to decimals. I have no clue how to do it. It's very confusing to me.

 

[laney]

for example if you have 3/4, all you have to do is divide 4 into 3 and the answer is .75, so if you have 1/4, divide 4 into 1 and answer is .25 .75 + .25 = 1.00, do this with all your fractions and think of it, as if it's money. 2/3 divide 3 into 2 and the answer is .33

Hope this helps

 

[Deleted member 4993]

I'm home schooled and need help with changing fractions to decimals. I have no clue how to do it. It's very confusing to me.

Put up some problems - with your work (so that we know where to begin).

Also go to:

http://www.purplemath.com/modules/perce ... o_Fraction

http://www.purplemath.com/modules/percents.htm

for some practice.

 

[masters]

for example if you have 3/4, all you have to do is divide 4 into 3 and the answer is .75, so if you have 1/4, divide 4 into 1 and answer is .25 .75 + .25 = 1.00, do this with all your fractions and think of it, as if it's money. 2/3 divide 3 into 2 and the answer is .33 <==Incorrect!

Hope this helps

$\displaystyle \frac{2}{3}=.66\frac{2}{3}$

 

[lookagain]

for example if you have 3/4, all you have to do is divide 4 into 3 and the answer is .75, so if you have 1/4, divide 4 into 1 and answer is .25 .75 + .25 = 1.00, do this with all your fractions and think of it, as if it's money. 2/3 divide 3 into 2 and the answer is .33 <==Incorrect!

Hope this helps

$\displaystyle \frac{2}{3}=.66\frac{2}{3}$

No, masters, that is not the correct form.


What you have is equivalent to $\displaystyle .66 \ + \ \frac{2}{3}.$


$\displaystyle \frac{2}{3} \ = \ \ .666... \ \ \ or \ \ \ 66\frac{2}{3} \%$


Also, note that:


$\displaystyle \frac{2}{3} \ = \frac{200}{300} \ = \ \frac{200}{3}\cdot \frac {1}{100} \ = \ 66\frac{2}{3}\cdot \frac{1}{100} \ = \ 66\frac{2}{3} \%$


Another way of showing it is:


\(\displaystyle \frac{(.66\frac{1}{150})(100)}{100} \ = \\)

\(\displaystyle 66\frac{100}{150}\cdot\frac{1}{100} \ = \\)

\(\displaystyle 66\frac{2}{3}\cdot \frac{1}{100} \ = \\)

$\displaystyle 66\frac{2}{3} \%$

 

[masters]

for example if you have 3/4, all you have to do is divide 4 into 3 and the answer is .75, so if you have 1/4, divide 4 into 1 and answer is .25 .75 + .25 = 1.00, do this with all your fractions and think of it, as if it's money. 2/3 divide 3 into 2 and the answer is .33 <==Incorrect!

Hope this helps

$\displaystyle \frac{2}{3}=.66\frac{2}{3}$

No, masters, that is not the correct form.


What you have is equivalent to $\displaystyle .66 \ + \ \frac{2}{3}.$

Nope. Actually, $\displaystyle .66\frac{2}{3}=.66+\frac{\frac{2}{3}}{100}$

 

[lookagain]

Nope. Actually, $\displaystyle .66\frac{2}{3}=.66+\frac{\frac{2}{3}}{100} \ \ = \ .66 + \frac{2}{300} \ =\ .66 + \frac{2}{300} \ = \ .66 + \frac {1}{150}$

No, there is no "nope" and there is no "actually."

$\displaystyle And, \ to \ find \ the \ percent, \ multiply \ the \ numerator \ and \ the \ denominator \ by \ 100 \ apiece:$


$\displaystyle .66\frac{1}{150} = .66 \ + \ \frac{1}{150} = \ \frac{100\bigg(.66 \ +\ \frac{1}{150}\bigg)}{100} \ = \ \bigg(66 \ + \ \frac{100}{150}\bigg)\cdot \frac{1}{100} \ = \bigg(66\frac{2}{3}\bigg)\cdot \frac{1}{100} \ = \ 66\frac{2}{3} \%$

 

[Denis]

I'm home schooled and need help with changing fractions to decimals. I have no clue how to do it. It's very confusing to me.

Is it still confusing?

 

[lookagain]

2/3 $\displaystyle \rightarrow$ divide 3 into 2 and the answer is .33

grl4christ,

what I believe laney meant to type/intended was:

For 2/3, divide 3 into 2, and the answer is equal to .67, when rounded to the hundredths place.

In fact, it is the repeating decimal .666...


$\displaystyle Or,\ for\ a \ short \ form \ of \ the \ exact \ value, \ you \ can \ type/write \ \ .\overline{6} \ \ instead \ of \ the \ above \ version.$