What is 4 7/4 as a decimal?

Solution: 4 7/4 as a decimal is 5.75

Methods

First step – Making the fraction improper:

The first step to changing 4 7/4 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 4 and add its product to 7 in the numerator to get: 23/4. Now we will attempt to convert 23/4 to a decimal using the following method:

Explanation using the division method:

A fraction is usually split into two parts: the first part is the number on top, called the numerator; and the second part is the number on the bottom, called the denominator. These are both separated by a line called the “divisor line”. We can use the division method help to solve this question: to get a decimal, simply divide the numerator 23 by the denominator 4 (which you can enter in any calculator):

23 (numerator) ÷ 4 (denominator) = 5.75

And finally, you get 5.75 as your answer when you convert 4 7/4 (or 23/4) to a decimal.

Practice more conversion problems

All it takes to be better at something is some practice! Take a look at some more similar problems on converting fractions to decimals and give them a go:

Download FREE Math Resources

Take advantage of our free downloadable resources and study materials for at-home learning.

8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

One thing we teach our students at Thinkster is that there are multiple ways to solve a math problem. This helps our students learn to think flexibly and non-linearly.

Get PDF

How to Make Sure Your Child is Highly Successful and Becomes a Millionaire

As a parent, you hope your child is extremely successful and likely become the next Gates, Zuckerberg, or Meg Whitman. To set your child on the right path, there are many skills and traits that you can start building and nurturing now. Doing so plants the seeds for future success.