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:
\[ 2 \]