0.175 Repeating as a Fraction
The decimal number 0.175 is a repeating decimal, which means that it has an infinite number of digits that repeat in a specific pattern. In this case, the pattern is 175 repeating indefinitely. But have you ever wondered what 0.175 repeating as a fraction looks like?
Converting 0.175 to a Fraction
To convert 0.175 to a fraction, we can use a few different methods. One way is to use the formula:
x = 0.175 (where x is the fraction we're looking for)
We can then multiply both sides of the equation by 1000 (because 0.175 has three decimal places), which gives us:
1000x = 175
Now, we can divide both sides of the equation by 1000, which gives us:
x = 175/1000
Simplifying the Fraction
We can simplify the fraction 175/1000 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 25. This gives us:
x = 7/40
And there you have it! 0.175 repeating as a fraction is equal to 7/40.
Conclusion
In conclusion, 0.175 repeating as a fraction is equal to 7/40. This is just one example of how a repeating decimal can be converted to a fraction. There are many other repeating decimals out there, each with its own unique fraction equivalent.
