Which of the following is equivalent to 0.2?

To determine why the answer is correct, it's helpful to understand how to convert decimal numbers into fractions. The decimal 0.2 can be expressed as a fraction by recognizing it represents 2 tenths. This can be written as:

[

0.2 = \frac{2}{10}

]

Now, simplifying this fraction involves dividing the numerator and the denominator by their greatest common divisor, which is 2:

[

\frac{2 \div 2}{10 \div 2} = \frac{1}{5}

]

Thus, 0.2 simplifies to ( \frac{1}{5} ), confirming that this fraction is indeed equivalent to the decimal.

The other options do not simplify to or represent 0.2. For example, ( \frac{1}{3} ) is approximately 0.333, ( \frac{1}{6} ) is about 0.1667, and ( \frac{1}{7} ) is roughly 0.1429. None of these values equal 0.2, which further verifies that ( \frac{1}{5} ) is the only correct representation of 0.2 among the