0.94 Repeating as a Fraction
What is 0.94 Repeating?
The decimal number 0.94 repeating is a non-terminating, repeating decimal that has a pattern of 94 repeating indefinitely. It can be written as 0.94, 0.9494, 0.949494, and so on.
Converting 0.94 Repeating to a Fraction
To convert 0.94 repeating to a fraction, we can use the following steps:
Step 1: Let x = 0.9494...
Step 2: Multiply both sides of the equation by 100 to get rid of the decimal point:
100x = 94.9494...
Step 3: Subtract the original equation from the new equation:
100x - x = 94.9494... - 0.9494...
This simplifies to:
99x = 94
Step 4: Divide both sides of the equation by 99:
x = 94/99
Simplifying the Fraction
The fraction 94/99 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 94 and 99 is 1, so the fraction is already in its simplest form:
x = 94/99
Therefore, 0.94 repeating can be written as a fraction in its simplest form as 94/99.
