How do you turn decimals into a fraction?

Answer 1

To turn a decimal into a fraction, one moves the decimal point to the right until one is left with an integer (a number with nothing to the right of the decimal point). The final integer is divided by 10 for each move of the decimal point. Then reduce the fraction. For example, -0.4425 requires 4 moves to get to an integer as follows:

-0.4425 -> -4.425 -> -44.25 -> -442.5 -> -4,425

Since we moved the decimal 4 times, we divide -4,425 by

10 x 10 x 10 x 10 = 10,000

so, the beginning fraction is

-4,425
---------
10,000
However, the fraction can be reduced by dividing by 25, to get to -177
------- = -0.4425
400