0.46 Repeating as a Fraction
What does 0.46 repeating mean?
0.46 repeating is a decimal number that has an infinite sequence of 46 repeating itself. It can be written as 0.464646... where the sequence of 46 goes on forever. This type of decimal is known as a repeating decimal or a non-terminating repeating decimal.
Converting 0.46 repeating to a fraction
To convert 0.46 repeating to a fraction, we can use the following steps:
Let x = 0.464646...
Multiply both sides by 100 to get rid of the decimal point:
100x = 46.4646...
Subtract x from both sides to eliminate the repeating part:
99x = 46
Divide both sides by 99 to solve for x:
x = 46/99
Simplifying the fraction
The fraction 46/99 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 46 and 99 is 1, so the fraction is already in its simplest form:
0.46 repeating as a fraction
0.46 repeating can be written as a fraction as:
46/99
This fraction is the equivalent of the repeating decimal 0.464646...
