0.61 Repeating as a Fraction
What is 0.61 Repeating?
0.61 repeating, also known as 0.61..., is a decimal number that has a repeating pattern of 61. This means that the digits 61 will continue to repeat indefinitely in a cycle.
Converting 0.61 Repeating to a Fraction
To convert 0.61 repeating to a fraction, we can use the following steps:
Let x = 0.61...
Multiply both sides by 100 to get rid of the decimal point:
100x = 61.61...
Subtract x from both sides to eliminate the repeating pattern:
99x = 61
Divide both sides by 99:
x = 61/99
Therefore, 0.61 repeating as a fraction is equal to 61/99.
Simplifying the Fraction (Optional)
If we want to simplify the fraction further, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 61 and 99 is 1, so the fraction is already in its simplest form.
Conclusion
In conclusion, 0.61 repeating can be converted to a fraction by multiplying by 100, subtracting x, and then dividing by 99. The resulting fraction is 61/99, which is already in its simplest form.
