What is 3 1/4 as a decimal?

There are a lot of different ways you can convert a number into (decimals, percentages, and more) but in this guide, we’ll demonstrate how to use the division method to convert a fraction to a decimal.

Solution: 3 1/4 as a decimal is 3.25

Methods

First step – Making the fraction improper:

The first step to changing 3 1/4 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 4 and add its product to 1 in the numerator to get: 13/4. Now we will attempt to convert 13/4 to a decimal using one of the following methods:

Method 1 – Explanation using the division method:

Put in a nutshell, a fraction is written in terms of two parts separated by a line in between: the number above the line is called the numerator and the number below the line is called the denominator. To solve this question, we can use the division method to get a decimal: simply divide the numerator 13 by the denominator 4 to get the decimal:

13 (numerator) ÷ 4 (denominator) = 3.25

That’s it! When you convert 3 1/4 (or 13/4) to a decimal, 3.25 is your answer.

Method 2 – Explanation using the factors of 10 method:

Another method is to change the denominator to a power of 10 (like 10, 100, 1000 etc.). This way, the fraction will be coming simpler to compute.

Even if our denominator is not a power of 10, we can make it one. If the denominator is a factor of a power of 10, like 2, 4, 5, 8, 10, 16, 20, 25, 40, 50 and so on, then we can convert them into a power of 10. Since our denominator is 4, we can convert it because it is a factor of a power of 10.

To do that, we multiply 4 by 25 to make the denominator 100. And since we multiplied the denominator by 25, we also need to multiply the numerator by 25 too:

$\frac{13 * 25}{4 * 25} = \frac{325}{100} = 3.25$

And finally, you get 3.25 as your answer when you convert 3 1/4 (or 13/4) to a decimal. 8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

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