Question

how can you convert -0.03 into a fraction? Without a calculator.

Answer 1

-3/100

Answer 2

sorry the 3 is repeating

Answer 3

yes that is correct

Answer 4

1/3 = 0.33333...
1/30 = 0.03333...

Answer 5

You move the decimal to the left. When you divide the number by 10

Answer 6

\[-\overline {.3}=-\frac{1}{3}\]

Answer 7

-1/30

Answer 8

I got negative -1/30 but dont know how to get to that without a calculator.. i did the other two using a formula, but I dont what I am doing wrong.

Answer 9

here is what you can do. forget the minus sign, it is a distraction. we will put it in at the end

Answer 10

-0.3333... = -1/3
so divide both side by 10
-0.03333... = -1/30

Answer 11

put
\[x=.03333...\]
\[10x=.33333\]
\[9x=.3333...-.033333...=0.3\]
\[x=\frac{.3}{9}=\frac{3}{90}=\frac{1}{30}\]

Answer 12

actually moneybird method is slicker, but it requires knowing one fact to start, namely that
\[\frac{1}{3}=\overline{.3}\]if you have another problem where you do not know such a thing, you have to use a different method

Answer 13

for example if you want
\[\overline{.12}\] you can write
\[x=\overline{.12}\]
\[100x=12\overline{.12}\]
\[99x=12\]
\[x=\frac{12}{99}=\frac{4}{33}\]

Answer 14

later when this becomes a bit more sophisticated you can sum a geometric series, but for now this gimmick should always work

Answer 15

yeah that is the formula i used for the other two and got the correct answers and I tried doing the .03 repeating but i am not getting - 1/30

Answer 16

How do you make the fraction symbol?

Answer 17

\{a}{b}

Answer 18

if you want to know any code you see, you can right click on it to see it

Answer 19

\sum_{k=1}^{\infty}\frac{1}{2^k}
\[\sum_{k=1}^{\infty}\frac{1}{2^k}\]

Answer 20

frac{frac{1}{2}}{1-frac{1}{2}}

Answer 21

\[\frac{\frac{1}{2}}{1-\frac{1}{2}}\]

Answer 22

= 1

Answer 23

there you go. now have fun. there are lots of nice tricks. main reason i started here was to learn latex. now i am hooked

Answer 24

it seems kind of hard. Before I just press the equation button.

Answer 25

thanks for tryin to help me