SOLUTION: Hey! __ It says to express 0.01 as a fraction. Please help! Thank You=)

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Question 130094This question is from textbook algebra
: Hey! __
It says to express 0.01 as a fraction.


Please help! Thank You=)
This question is from textbook algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x=0.0101010101 Set the decimal value equal to x. Let's call this Equation 1


100%2Ax=100%2A0.0101010101 Multiply both sides by 100


100x=1.0101010101 Multiply (or move the decimal 2 places to the right on both sides). Let's call this Equation 2




99x=1 Now subtract Equation 2 from Equation 1 by subtracting the left side terms 100x-x=99x and the right side terms 1.0101010101-0.0101010101=1





x=1%2F99 Now divide both sides by 99 to isolate x




So the decimal number 0.0101010101 is the fraction 1%2F99


In other words, 0.0101010101=1%2F99