Final answer:
The decimal 0.2 can be converted to the fraction 2/10 and further simplified to 1/5 by dividing both the numerator and the denominator by the greatest common divisor, which is 2.
Step-by-step explanation:
To convert 0.2 to a simplified fraction, recognize that 0.2 is the same as 2 tenths, which can be written as 2/10. This fraction can then be simplified by finding the greatest common divisor (GCD) of both the numerator (2) and the denominator (10), which is 2. So, divide both the numerator and the denominator by this GCD:
- Numerator: 2 ÷ 2 = 1
- Denominator: 10 ÷ 2 = 5
After simplifying, 0.2 as a fraction is 1/5.
To rewrite 0.2 as a simplified fraction, we need to express it as a fraction with an integer numerator and integer denominator. First, we can write 0.2 as the fraction 2/10, since 0.2 is equivalent to 2 tenths. Next, we simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 2. Dividing 2 by 2 gives us 1, and dividing 10 by 2 gives us 5. Therefore, 0.2 as a simplified fraction is 1/5.