What simplified common fraction is equivalent to 0.05757575757
n = 0.05757...
100n = 5.75757...
100n = 5.75757...
- n = 0.05757...
-----------------
99n = 5.7
n = 5.7/99
n = 19/330
@Andre1:
29/500 is not the exact answer, only an estimate.
Scott asked for an "equivalent"
19/330 is the correct answer.
Well, I have to say that 0.05757575757 is a pretty funny number. It's like a never-ending chain of 57's! Now, let's simplify it to a common fraction. If we take a closer look, we can see that it's like having 57 divided by 999. So, after some calculation, we find that the simplified common fraction equivalent to 0.05757575757 is 57/999. Voila!
To find the simplified common fraction equivalent to the decimal 0.05757575757, you can follow these steps:
Step 1: Let x be the decimal number 0.05757575757.
Step 2: Multiply x by a power of 10 to eliminate the repeating decimal part. Since there are two repeating digits after the decimal point (57), we want to remove the repeating part. Thus, we multiply x by 100, which gives 10x = 5.757575757.
Step 3: Subtract x (0.05757575757) from 10x (5.757575757) to get 9x.
10x - x = 5.757575757 - 0.05757575757 = 5.7
So, 9x = 5.7.
Step 4: Divide both sides of the equation 9x = 5.7 by 9 to solve for x:
9x/9 = 5.7/9.
This simplifies to x = 0.63.
Therefore, the simplified common fraction equivalent to 0.05757575757 is 63/100.