0.034 as a Fraction in Lowest Terms
What is 0.034 as a Fraction?
The decimal number 0.034 can be converted to a fraction in lowest terms. To do this, we need to find the equivalent fraction that has the same value as 0.034.
Conversion to Fraction
To convert 0.034 to a fraction, we can divide the decimal part by 1000, which is the denominator of the fraction.
0.034 = 34/1000
Simplifying the Fraction
The fraction 34/1000 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 34 and 1000 is 2.
Divide both numerator and denominator by 2:
34 ÷ 2 = 17 1000 ÷ 2 = 500
So, the simplified fraction is:
0.034 = 17/500
This is the fraction in lowest terms, where both the numerator and denominator are coprime (they do not have any common factors).
Conclusion
In conclusion, the decimal number 0.034 can be converted to a fraction in lowest terms, which is 17/500.