Question

help! i have been doing this for the past day.I need to pass this test.
write the decimal 14.26848 as fraction.The 848 has a bar line on top,so it is a repeating decimal.It has to be in simplest form.If you can just write a mixed number instead of improper fractions.
Thanks!

Answer 1

help please!

Answer 2

Write it as:
___
x = 14.26848
First multiply both sides by powers of 10 such that the decimal point is one place to the RIGHT of the repeating digits. So if I multiply both sides by 100000 the equation becomes:
100000x = 1426848.(848 repeating) ----------- (1)
Then multiply both sides so that the decimal point is 1 place to the LEFT of the repeating digits. Here, if I multiply by 100 the equation becomes:
100x = 1426.(848 repeating) ----------- (1)

Subtract (2) from (1) and that will get rid of the repeating decimals.
Then solve for x as a fraction.

Answer 3

thank you so much.I will solve for x right now.

Answer 4

You are welcome. And after you get the fraction simplify it to the lowest fraction.

Answer 5

okay.Thanks!

Answer 6

The problem says mixed numbers are okay and so I will just worry about putting the decimal into fraction form and leave 14 as it is.

Answer 7

how do you solve for x?

Answer 8

i don't know.

Answer 9

In the following, the digits within the parenthesis are indefinitely repeating digits.
x = 0.26(848)
100000x = 26848.(848)
100x = 26.(848)
subtract
99900x = 26822
divide both sides by 99900
x = 26822/99900
simplify. divide top and bottom by 2
x = 13411 / 49950 ( I don't think this fraction can be simplified any further

So, 14.26(848) = 14 & 13411 / 49950

\[\Large 14.26(848) = 14\frac{ 13411 }{ 49950 }\]

You can put just the fractional part in your calculator to verify that it gives ).26(848)
The calculator will round off the last digit but that is fine.

Answer 10

I asked my classmate how to do it.She gave me the same answer but didn't show me how to do it.She was mean to me.Thanks once again!

Answer 11

you are welcome.