You can also convert a mixed number to a fraction using long division %26amp;%26amp; addition. For example, if you wish to convert 4 3/5 to a decimal, use long division to convert 3/5 to (0.6,) %26amp;%26amp; then add 4 to get (4.6.) Convert each of the following fractions to decimals.
A)4 3/4 B)5 1/5 C)6 1/3
Ok everybody that was straight from my math book but I don't get it.
Of course you don't have to tell me the answers but can you tell me how exactly you convert the #/# (EXAMPLE:2/3) part?
I don't get it very well %26amp;%26amp; yes I have looked this up %26amp;%26amp; have asked my family %26amp;%26amp; teacher but they don't explain it well! =(
If you can help me that would be great, thanks sooo much! ♥
~+~Math Help~+~?
Okay, first of all to explain what your text means by using long division and addition....
taking your example of 4 3/4
The way your textbook wants you to go about doing this is to split the question up into two parts... the whole number and the fraction...
meaning Part A = 4 (whole number) and part B = 3/4 (fraction)
"using long division" applies only to part B - they want you to divide the fraction....
3/4 = 0.75 (this can be determined using your calculator or if you can't use a calculator - think of it as money 3 quarters = 75 cents...)
"using addition" applies to both parts, they want you to add part A to part B
4 + 0.75 = 4.75
thus now you have your answer in decimal form... the form you had before was fractions....
Here is another example --%26gt; 5 1/2
so first determine your whole number from your fraction...
Part A = 5 and Part B = 1/2
then divide your part B --%26gt; 1/2 = 0.5 (think of it like before, 50 cents)
now add part A and B
5 + 0.5 = 5.5
Note: if you have trouble understanding fractions, ask your mom/dad/guardian to get a lot of coins (dimes, quarters, nickels, etc...) and attempt the question... just make sure that you use the same coin for all parts of the question.....
Ask again if you still don't understand.....
Reply:Fractions and decimals can be hard sometimes. If you want to convert a mixed number to a fraction, example...
4 3/4 just multiply the 4*4= 16 then add to the numerator to get 19. put that 19 over the original denominator to get 19/16.
as for converting mixed numbers to decimals, this is a little trickier. you pretty much got to memorize the decimal of a fraction. for example 1/3 is equal to .3333333. or 1/2 is equal to .5. if it is in the form of 1/5 it is .2 or if it is 3/5 it is .6.
because you know 3/4=.75 take this number and add 4.
the book is basically trying to tell you that a mixed number is just a fraction of a number + a whole number.
all you have to find the decimal form of the fraction part, then add the whole number.
Reply:A)4 3/4=4.75
B)5 1/5=5.2
C)6 1/3=6.333333333
Take the 3/4 in the first
0.75
_________
4) 3.0
2.8
__
0.2
0.2
____
0
Reply:Long division of 2/3:
.... 0.666...
3 ) 2.000
.... 18
...... 20
...... 18
........ 20
........ 18
etc.
So 2/3 is the same as 0.666... repeating forever.
PROBLEM A:
....0.75
4 ) 30
.... 28
...... 20
...... 20
.........0
Answer 4.75
PROBLEM B:
.....0.2
5 ) 1.0
.... 10
.......0
Answer 5.2
PROBLEM C:
.....0.333
3 ) 1.000
....... 9
....... 10
......... 9
......... 10
........... 9
etc.
Answer 6.333... repeating
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