Step-by-Step Solution for Converting 1.75 to a Fraction

Step 1: Understand the Number

The number 1.75 is a decimal, which can be broken into two parts:

• The whole number part is: 1.
• The decimal part is: 0.75.

We aim to convert the entire number into a fraction.

Step 2: Isolate the Decimal Part (0.75)

Focus on the decimal part (0.75) and represent it as a fraction.

Step 2.1: Write 0.75 as \( \frac75100 \)

The decimal 0.75 can be read as "75 hundredths." Mathematically, this is:

\[ 0.75 = \frac75100 \]

Step 2.2: Simplify the Fraction

Now simplify \( \frac75100 \) by finding the greatest common divisor (GCD) of 75 and 100.

• The GCD of 75 and 100 is: 25.
• Therefore, the simplified fraction is:

\[ \frac34 \]

Step 3: Combine the Whole Number and Fraction

The original number 1.75 is the sum of the whole number 1 and the fraction \( \frac34 \).

Combine these as a mixed number:

\[ 1.75 = 1 + \frac34 = \frac7/4 \]

Step 4: Verify the Answer

To verify, divide \( \frac7/4 \):

\[ \frac7/4 = 1.75 \]

Thus, the fraction is correct.

Final Answer

The decimal 1.75 as a fraction is:

\[ \frac7/4 \]

If expressed as a mixed number:

\[ 1 3/4 \]