Step-by-Step Solution for Converting 1.54 to a Fraction

Step 1: Understand the Number

The number 1.54 is a decimal, which can be broken into two parts:

• The whole number part is: 1.
• The decimal part is: 0.54.

We aim to convert the entire number into a fraction.

Step 2: Isolate the Decimal Part (0.54)

Focus on the decimal part (0.54) and represent it as a fraction.

Step 2.1: Write 0.54 as \( \frac54100 \)

The decimal 0.54 can be read as "54 hundredths." Mathematically, this is:

\[ 0.54 = \frac54100 \]

Step 2.2: Simplify the Fraction

Now simplify \( \frac54100 \) by finding the greatest common divisor (GCD) of 54 and 100.

• The GCD of 54 and 100 is: 2.
• Therefore, the simplified fraction is:

\[ \frac2750 \]

Step 3: Combine the Whole Number and Fraction

The original number 1.54 is the sum of the whole number 1 and the fraction \( \frac2750 \).

Combine these as a mixed number:

\[ 1.54 = 1 + \frac2750 = \frac77/50 \]

Step 4: Verify the Answer

To verify, divide \( \frac77/50 \):

\[ \frac77/50 = 1.54 \]

Thus, the fraction is correct.

Final Answer

The decimal 1.54 as a fraction is:

\[ \frac77/50 \]

If expressed as a mixed number:

\[ 1 27/50 \]