How can I turn 3.25 into a fraction
The Correct Answer and Explanation is:
Correct Answer:
3.25 as a fraction is 13/4.
Explanation
To convert 3.25 into a fraction, follow these steps:
Step 1: Separate the whole number and the decimal part.
- The number 3.25 consists of a whole number part (3) and a decimal part (0.25).
Step 2: Convert the decimal part to a fraction.
- 0.25 is a common decimal. It means “25 hundredths,” which can be written as: 0.25=251000.25 = \frac{25}{100}0.25=10025
- Simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 25: 25÷25100÷25=14\frac{25 \div 25}{100 \div 25} = \frac{1}{4}100÷2525÷25=41
Step 3: Add the whole number and the simplified fraction.
- Now, add the whole number 3 to the fraction 1/4. To do this, convert the whole number into a fraction: 3=1243 = \frac{12}{4}3=412
- Then, add: 124+14=134\frac{12}{4} + \frac{1}{4} = \frac{13}{4}412+41=413
So, 3.25 = 13/4
Understanding Why This Works:
When converting a decimal to a fraction, you are essentially expressing the decimal in terms of parts of a whole. The decimal 0.25 means you have 25 parts out of 100, which simplifies to 1 part out of 4. Since we started with 3.25, we add that 1/4 to the 3 wholes.
You can also check your answer by dividing:13÷4=3.2513 \div 4 = 3.2513÷4=3.25
This confirms that 13/4 is indeed equal to 3.25.
By converting decimals to fractions, we make numbers easier to work with in algebra, ratios, or when doing calculations without a calculator.
