0.1667 as a Fraction in Simplest Form
What is 0.1667 as a Fraction?
The decimal number 0.1667 can be written as a fraction in its simplest form. To do this, we need to find the equivalent fraction that has the same value as the decimal.
Converting 0.1667 to a Fraction
To convert 0.1667 to a fraction, we can multiply it by a power of 10 to eliminate the decimal places. In this case, we can multiply 0.1667 by 10,000 to get:
0.1667 × 10,000 = 1,667
Now, we can write 1,667 as a fraction:
1,667 ÷ 10,000 = 1,667/10,000
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 1,667 and 10,000 is 1,667. Therefore, we can divide both the numerator and denominator by 1,667 to get:
1,667 ÷ 1,667 = 1 10,000 ÷ 1,667 = 6
So, the simplified fraction is:
1/6
Conclusion
In conclusion, the decimal number 0.1667 can be written as a fraction in its simplest form as 1/6.
