# 3.25 as a fraction

#### Understand the Problem

The question is asking us to convert the decimal number 3.25 into a fraction. This involves understanding how to represent decimal numbers as fractions.

3 \frac{1}{4} or \frac{13}{4}

The final answer is 3 \frac{1}{4} or \frac{13}{4}

#### Steps to Solve

1. Separate the whole number and the fractional part

The decimal 3.25 consists of 3 (whole number) and 0.25 (decimal part).

1. Convert the decimal part to a fraction

To convert 0.25 to a fraction, recognize that 0.25 is the same as 25/100.

$$0.25 = \frac{25}{100}$$

1. Simplify the fraction

Simplify (\frac{25}{100}) by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 25.

$$\frac{25}{100} = \frac{25 \div 25}{100 \div 25} = \frac{1}{4}$$

1. Combine the whole number and the fraction

Combine 3 (whole number) and (\frac{1}{4} (simplified fraction)) to get (3 + \frac{1}{4}).

If needed, convert it to an improper fraction:

$$3 \frac{1}{4} = \frac{3 \times 4 + 1}{4} = \frac{12 + 1}{4} = \frac{13}{4}$$

The final answer is 3 \frac{1}{4} or \frac{13}{4}