What is 0.2 as a Fraction?

The fraction equivalent of 0.2 is $\frac{1}{5}$

Step-by-Step Solution

Step 1: Identify the decimal number

We want to convert the decimal 0.2 to a fraction.

Step 2: Write as a fraction with 1 as the denominator

First, we write 0.2 as a fraction with 1 as the denominator:

0.2 = \frac{0.2}{1}

Step 3: Count the decimal places

The decimal 0.2 has 1 decimal places.

Step 4: Multiply to remove the decimal point

We multiply both the numerator and denominator by 10¹ to remove the decimal point:

\frac{0.2}{1} \times \frac{10}{10} = \frac{2}{10}

Step 5: Simplify the fraction

We need to simplify this fraction by dividing both numbers by their greatest common divisor (GCD).

The GCD of 2 and 10 is 2.

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

Final Answer

The decimal 0.2 as a fraction is $\frac{1}{5}$

Try Another Conversion

Understanding Decimal to Fraction Conversion

What are Decimals?

Decimals are a way of writing numbers that aren't whole numbers. They use a decimal point to separate the whole number part from the fractional part. For example, in 0.2, the whole number part is 0 and the decimal part is 0.2.

Converting Decimals to Fractions

To convert a decimal to a fraction:

Write the decimal number as a fraction with 1 as the denominator
Multiply both the numerator and denominator by a power of 10 to remove the decimal point
Simplify the fraction if possible

Did You Know?

Every terminating decimal can be written as a fraction where the denominator is a power of 10 or a number that only contains the prime factors 2 and 5.