What is 3 1/4 as a decimal?
The correct answer and explanation is:
To convert 3 1/4 to a decimal, follow these steps:
- Start by separating the whole number from the fraction. In this case, the whole number is 3, and the fraction is 1/4.
- Convert the fraction to a decimal. To do this, divide 1 by 4: 1÷4=0.251 \div 4 = 0.25
- Now, combine the whole number and the decimal. The whole number is 3, and the decimal equivalent of 1/4 is 0.25, so: 3+0.25=3.253 + 0.25 = 3.25
Thus, 3 1/4 as a decimal is 3.25.
Explanation:
When dealing with mixed numbers like 3 1/4, the whole number is a simple integer, while the fraction part needs to be converted into a decimal. A fraction represents division, so to convert 1/4 into a decimal, you divide 1 by 4. This gives 0.25 because 1 divided by 4 equals 0.25.
After converting the fraction to a decimal, you simply add it to the whole number, 3. This results in 3.25, which is the decimal form of the mixed number 3 1/4.
This method works for any mixed number: first convert the fraction to a decimal, then add it to the whole number. By understanding how to convert fractions to decimals and combining them with whole numbers, this process can be used for various mixed numbers.