Step-by-Step Solution for Converting 2 to a Fraction

Step 1: Understand the Number

The number 2 is a decimal, which can be broken into two parts:

  • The whole number part is: 2.
  • The decimal part is: 0.

We aim to convert the entire number into a fraction.

Step 2: Isolate the Decimal Part (0)

Focus on the decimal part (0) and represent it as a fraction.

Step 2.1: Write 0 as \( \frac0100 \)

The decimal 0 can be read as "0 hundredths." Mathematically, this is:

\[ 0 = \frac0100 \]

Step 2.2: Simplify the Fraction

Now simplify \( \frac0100 \) by finding the greatest common divisor (GCD) of 0 and 100.

  • The GCD of 0 and 100 is: 100.
  • Therefore, the simplified fraction is:

\[ \frac01 \]

Step 3: Combine the Whole Number and Fraction

The original number 2 is the sum of the whole number 2 and the fraction \( \frac01 \).

Combine these as a mixed number:

\[ 2 = 2 + \frac01 = \frac2/1 \]

Step 4: Verify the Answer

To verify, divide \( \frac2/1 \):

\[ \frac2/1 = 2 \]

Thus, the fraction is correct.

Final Answer

The decimal 2 as a fraction is:

\[ \frac2/1 \]

If expressed as a mixed number:

\[ 2 \]