Step-by-Step Solution for Converting 0.85 to a Fraction

Step 1: Understand the Number

The number 0.85 is a decimal, which can be broken into two parts:

• The whole number part is: 0.
• The decimal part is: 0.85.

We aim to convert the entire number into a fraction.

Step 2: Isolate the Decimal Part (0.85)

Focus on the decimal part (0.85) and represent it as a fraction.

Step 2.1: Write 0.85 as \( \frac85100 \)

The decimal 0.85 can be read as "85 hundredths." Mathematically, this is:

\[ 0.85 = \frac85100 \]

Step 2.2: Simplify the Fraction

Now simplify \( \frac85100 \) by finding the greatest common divisor (GCD) of 85 and 100.

• The GCD of 85 and 100 is: 5.
• Therefore, the simplified fraction is:

\[ \frac1720 \]

Step 3: Combine the Whole Number and Fraction

The original number 0.85 is the sum of the whole number 0 and the fraction \( \frac1720 \).

Combine these as a mixed number:

\[ 0.85 = 0 + \frac1720 = \frac17/20 \]

Step 4: Verify the Answer

To verify, divide \( \frac17/20 \):

\[ \frac17/20 = 0.85 \]

Thus, the fraction is correct.

Final Answer

The decimal 0.85 as a fraction is:

\[ \frac17/20 \]

If expressed as a mixed number:

\[ 17/20 \]