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.
Answer
3 \frac{1}{4} or \frac{13}{4}
Answer for screen readers
The final answer is 3 \frac{1}{4} or \frac{13}{4}
Steps to Solve
- Separate the whole number and the fractional part
The decimal 3.25 consists of 3 (whole number) and 0.25 (decimal part).
- Convert the decimal part to a fraction
To convert 0.25 to a fraction, recognize that 0.25 is the same as 25/100.
$$0.25 = \frac{25}{100}$$
- Simplify the fraction
Simplify (\frac{25}{100}) by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 25.
$$\frac{25}{100} = \frac{25 \div 25}{100 \div 25} = \frac{1}{4}$$
- 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}
More Information
A mixed number consists of a whole number and a proper fraction. Sometimes it is preferred to use an improper fraction (where numerator > denominator) instead.
Tips
A common mistake is not simplifying the fraction completely. Always check if the fraction can be simplified further.