what is 0.878787... as a fraction :)
The closest I can come 7/8 = .875.
if
x = 0.8787...
100x = 87.8787...
so 99x = 87
x = 87/99
In general, if n digits repeat after the decimal, then the value is just the n digits divided by n 9's.
0.128712871287... = 1287/9999
1.20456456456 = 1.20 + 456/999 * 1/100 because the repeating digits did not start until two places after the decimal point.
1.20 + 456/999 = 6/5 + 152/333 = 2758/1665
To convert 0.878787... (repeating) to a fraction, we can follow these steps:
Step 1: Let's assume x = 0.878787... (repeating).
Step 2: Multiply both sides of the equation by 100 to remove the decimal point:
100x = 87.878787... (repeating).
Step 3: Subtract the original equation (x = 0.878787...) from the equation obtained in step 2 (100x = 87.878787...):
100x - x = 87.878787... - 0.878787... (repeating).
Simplifying, we have:
99x = 87.
Step 4: Divide both sides of the equation by 99 to solve for x:
x = 87/99.
Therefore, the fraction equivalent to 0.878787... (repeating) is 87/99.
To convert the decimal 0.878787... into a fraction, we can use the concept of repeating decimals.
Step 1: Let's assume x = 0.878787...
Step 2: Multiply x by 100 (to shift the decimal point two places to the right) to get rid of the repeating part:
100x = 87.878787...
Step 3: Subtract x from 100x to eliminate the repeating part:
100x - x = 87.878787... - 0.878787...
99x = 87
Step 4: Divide both sides of the equation by 99 to solve for x:
x = 87/99
Therefore, 0.878787... as a fraction is 87/99.