.71 with 1 Repeating as a Fraction
What is .71 with 1 Repeating?
.71 with 1 repeating is a decimal number that has a repeating pattern of 1. It can be written as 0.71(1) or 0.711111..., where the 1 repeats indefinitely.
Converting .71 with 1 Repeating to a Fraction
To convert .71 with 1 repeating to a fraction, we can use a few different methods. One way is to use the formula:
a/(9 × 10^n)
where a is the repeating part of the decimal (in this case, 71) and n is the number of digits in the repeating part.
Using this formula, we can convert .71 with 1 repeating to a fraction as follows:
.71(1) = 71/(9 × 10^2) = 71/900 = 79/1000
So, .71 with 1 repeating as a fraction is 79/1000.
Equivalent Fractions
The fraction 79/1000 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 79 and 1000 is 1, so the fraction cannot be simplified further.
Conclusion
.71 with 1 repeating can be converted to a fraction using the formula a/(9 × 10^n). The resulting fraction is 79/1000, which cannot be simplified further.
