Step-by-Step Solution for Converting 1.46 to a Fraction

Step 1: Understand the Number

The number 1.46 is a decimal, which can be broken into two parts:

• The whole number part is: 1.
• The decimal part is: 0.46.

We aim to convert the entire number into a fraction.

Step 2: Isolate the Decimal Part (0.46)

Focus on the decimal part (0.46) and represent it as a fraction.

Step 2.1: Write 0.46 as \( \frac46100 \)

The decimal 0.46 can be read as "46 hundredths." Mathematically, this is:

\[ 0.46 = \frac46100 \]

Step 2.2: Simplify the Fraction

Now simplify \( \frac46100 \) by finding the greatest common divisor (GCD) of 46 and 100.

• The GCD of 46 and 100 is: 2.
• Therefore, the simplified fraction is:

\[ \frac2350 \]

Step 3: Combine the Whole Number and Fraction

The original number 1.46 is the sum of the whole number 1 and the fraction \( \frac2350 \).

Combine these as a mixed number:

\[ 1.46 = 1 + \frac2350 = \frac73/50 \]

Step 4: Verify the Answer

To verify, divide \( \frac73/50 \):

\[ \frac73/50 = 1.46 \]

Thus, the fraction is correct.

Final Answer

The decimal 1.46 as a fraction is:

\[ \frac73/50 \]

If expressed as a mixed number:

\[ 1 23/50 \]