Math help????

Question

Does anyone know how to covert a decimal into a fraction and a fraction into a decimal????I'm trying to get my GED and i would appreciate all the help i can get Thanks

Answer 1

fraction to decimal-------- top number divide bottom number

decimal to fraction--------find what value decimal ends, put number under denominator and simplify.

Answer 2

First graduate from Langley, Virginia as a "covert" operative.

Otherwise - Fraction into a decimal: Multiply denominator to equal 100; then use the same multiplier for the numerator.
Example:

1/5 = 20 times the demoninator x 5 = 100
20 times the numerator x 1 = 20
20/100 = .20

4/10= 10 times the demoninator x 10 = 100
10 times the numerator x 4 = 40
40/100 = .40

4/10 is also equal to 2/5 (divide the numerator & denominator by 2)

Answer 3

I'm making up these numbers as I go:

Let's try 13/16th.

16)13.0000
You'll get .8125

Multiply that by 100 and throw on a %
81.25%.

You should learn the most common fractions: 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9, 1/10 and all their multiples up to x/x = 1.

[1/7 = .142856. 2/7 = (move to the next lowest digit, and move the front digits to the end) .285614. 3/7 = .428561 ... ] [ Note that these are repeating sequences. 1/7 actually is .142856142856142856142856...]

Let's say you have .474

That's 474/1000 (number of zeroes = number of places after the decimal)
now they're both even, divide by 2
237/500. I don't know if this reduces. But I can prime factor both top & bottom
bottom is easy. 5 * 100 = 5 * 5 * 5 * 2 * 2
top not so easy. but all the digits add up to a multiple of 3 (2 + 3 + 7 = 12), so we can divide it by 3
237 = 3 * 79. 79 will not divide by 3. nor 5, nor 7. So it's prime. (I only have to divide by all the primes up to √x to quit trying.)
so we have 3*79 / 2*2*5*5*5. No common factors top & bottom. This fraction is in lowest terms.

You should learn how to easily identify if a number is divisible by 2, 3, 5, 7, 9 and 11 (for 3 digit numbers)

Answer 4

well for fraction into decimal, say it's 2/3 u simply divide 2 by 3 okay i'll tell u how..... 2 is smaller than 3 so in the quotient u put a "." (point ) & in the dividend u put a zero so 2 becomes 20
now divide 20 by 3 thats 6 so answer is .6 okay

for decimal into fraction thats even easier like decimal is .23 divide the number by 10 or 100 or 1000 depending on how many digits u have after the point... here u have 2 digits after decimal so u remove the decimal n divide by 100(2 zeros because 2 digits after decimal) thats 23/100
say if it's 4.975 then u have 3 digits after decimal so u divide by 1000 that's 4975/1000
got it??

Answer 5

to convert a fraction into a decimal, divide the top by the bottom. decimal to fraction, count the number of digits after the decimal point, put a one in front of that, that number is your denominator, the numerator is the number behind the decimal point. This only works if the decimal is less than 1.

Answer 6

decimal to fraction:

example: 0.05 is really 5/100 because the 5 is in the 1/100ths place.

if you have more numbers... put them ALL over the place of the last one.. example:

0.00123 = 123/100000 <== has 5 zeros because the 3 is 5 places from the decimal.

after you get the fraction.. you need to reduce it to lowest terms.

fraction to decimal.. just divide the top number by the bottom number.. example:

2/5 = 2 divided by 5 = 0.4 (5 won't go into 2, but it goes into 20 four times... hard to show division in text.. hehe)

for REPEATING decimals!!
Example:

0.123451234512345...

x = 0.123451234512345...
now multiply this number by large enough number to move one FULL set of the repeat to left of decimal

100000x = 12345.1234512345...

now... 100000x - x = 99999x
or... 12345.12345...
...............-0.12345...
=.....12345.0.........

so... 99999x = 12345
and x = 12345/99999

easier example:

....x = 0.3333333333...
10x = 3.3333333333...

10x - x = 9x = (3.33...)-(0.33...) = 3

9x = 3
x = 3/9 = 1/3

Answer 7

to convert a fraction into a decimal - take the top number divide by the bottom

Answer 8

decimal to a fraction= .436= 436/1000

fraction to a decimal= 6/16= 0.375

here is a site that helps

Answer 9

divide the top by the bottom yea thats it.

Answer 10

log onto www.mathguru.com and all solutions with explanations available there...

ensoi