Math Tutor Explains: What is 45 3/4 as a decimal?

Decimals and fractions are two ways you can write the same number. A decimal is written when in two parts, its whole numbers part and its decimals part – with a decimal point in between. In this article, a math tutor will teach you how to convert 45 3/4 to a decimal using the division method.

Math Tutor Solution: 45 3/4 as a decimal is 45.75

Methods

First step from a math tutor – Making the fraction improper:

The first step to changing 45 3/4 into a decimal is to change it to an improper fraction. To do that, we need to multiply 45 by 4 and add its product to 3 in the numerator to get: 183/4. Now we will attempt to convert 183/4 to a decimal using the following method:

Math Tutor Explanation for 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 183 by the denominator 4 (which you can enter in any calculator):

183 (numerator) ÷ 4 (denominator) = 45.75

And finally, you get 45.75 as your answer when you convert 45 3/4 (or 183/4) to a decimal.

Math Tutor Suggests: Practice more conversion problems

All it takes to be better at something is some practice! Our math tutors suggest that you 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.

Get PDF

Math Tutoring to Boost Your Child’s Math Skills & Scores by 90% in Just 3 Months – Guaranteed!

Does your child struggle with math homework or understanding tricky math concepts? Do they do okay in math, but express excitement to learn new material or advanced math?

A Thinkster Math tutor provides one-to-one support to help elementary, middle school, and high school students build confidence and master math subjects like K-8 math, pre-algebra, algebra, geometry, calculus, and more.

Our expert math tutors customize math lessons to your child’s unique needs, making learning math fun and effective. We help students improve grades, develop strong critical thinking skills through solving word problems, excel in standardized tests, and develop strong problem-solving skills.

Our expert math tutors are ready to help make your child a champion and develop strong math mastery! Sign up for our 7-day free trial and get the best math tutor for your child today!

Start 7-Day Free Trial