Step-by-Step Solution for Converting 0.6 to a Fraction

Step 1: Understand the Number

The number 0.6 is a decimal, which can be broken into two parts:

• The whole number part is: 0.
• The decimal part is: 0.6.

We aim to convert the entire number into a fraction.

Step 2: Isolate the Decimal Part (0.6)

Focus on the decimal part (0.6) and represent it as a fraction.

Step 2.1: Write 0.6 as \( \frac60100 \)

The decimal 0.6 can be read as "60 hundredths." Mathematically, this is:

\[ 0.6 = \frac60100 \]

Step 2.2: Simplify the Fraction

Now simplify \( \frac60100 \) by finding the greatest common divisor (GCD) of 60 and 100.

• The GCD of 60 and 100 is: 20.
• Therefore, the simplified fraction is:

\[ \frac35 \]

Step 3: Combine the Whole Number and Fraction

The original number 0.6 is the sum of the whole number 0 and the fraction \( \frac35 \).

Combine these as a mixed number:

\[ 0.6 = 0 + \frac35 = \frac3/5 \]

Step 4: Verify the Answer

To verify, divide \( \frac3/5 \):

\[ \frac3/5 = 0.6 \]

Thus, the fraction is correct.

Final Answer

The decimal 0.6 as a fraction is:

\[ \frac3/5 \]

If expressed as a mixed number:

\[ 3/5 \]