Step-by-Step Solution for Converting 1.72 to a Fraction

Step 1: Understand the Number

The number 1.72 is a decimal, which can be broken into two parts:

• The whole number part is: 1.
• The decimal part is: 0.72.

We aim to convert the entire number into a fraction.

Step 2: Isolate the Decimal Part (0.72)

Focus on the decimal part (0.72) and represent it as a fraction.

Step 2.1: Write 0.72 as \( \frac72100 \)

The decimal 0.72 can be read as "72 hundredths." Mathematically, this is:

\[ 0.72 = \frac72100 \]

Step 2.2: Simplify the Fraction

Now simplify \( \frac72100 \) by finding the greatest common divisor (GCD) of 72 and 100.

• The GCD of 72 and 100 is: 4.
• Therefore, the simplified fraction is:

\[ \frac1825 \]

Step 3: Combine the Whole Number and Fraction

The original number 1.72 is the sum of the whole number 1 and the fraction \( \frac1825 \).

Combine these as a mixed number:

\[ 1.72 = 1 + \frac1825 = \frac43/25 \]

Step 4: Verify the Answer

To verify, divide \( \frac43/25 \):

\[ \frac43/25 = 1.72 \]

Thus, the fraction is correct.

Final Answer

The decimal 1.72 as a fraction is:

\[ \frac43/25 \]

If expressed as a mixed number:

\[ 1 18/25 \]