Step-by-Step Solution for Converting 1.12 to a Fraction

Step 1: Understand the Number

The number 1.12 is a decimal, which can be broken into two parts:

• The whole number part is: 1.
• The decimal part is: 0.12.

We aim to convert the entire number into a fraction.

Step 2: Isolate the Decimal Part (0.12)

Focus on the decimal part (0.12) and represent it as a fraction.

Step 2.1: Write 0.12 as \( \frac12100 \)

The decimal 0.12 can be read as "12 hundredths." Mathematically, this is:

\[ 0.12 = \frac12100 \]

Step 2.2: Simplify the Fraction

Now simplify \( \frac12100 \) by finding the greatest common divisor (GCD) of 12 and 100.

• The GCD of 12 and 100 is: 4.
• Therefore, the simplified fraction is:

\[ \frac325 \]

Step 3: Combine the Whole Number and Fraction

The original number 1.12 is the sum of the whole number 1 and the fraction \( \frac325 \).

Combine these as a mixed number:

\[ 1.12 = 1 + \frac325 = \frac28/25 \]

Step 4: Verify the Answer

To verify, divide \( \frac28/25 \):

\[ \frac28/25 = 1.12 \]

Thus, the fraction is correct.

Final Answer

The decimal 1.12 as a fraction is:

\[ \frac28/25 \]

If expressed as a mixed number:

\[ 1 3/25 \]