Solution: 29 33/4 as a decimal is 37.25
Methods
First step – Making the fraction improper:
The first step to changing 29 33/4 into a decimal is to change it to an improper fraction. To do that, we need to multiply 29 by 4 and add its product to 33 in the numerator to get: 149/4. Now we will attempt to convert 149/4 to a decimal using the following method:
Explanation using the division method:
One method to convert 149/4 to a decimal is by using the division method. Before we move ahead to the method, here is a quick recap on fractions: A fraction is a number representation that is broken down into two parts - the number on top is called the numerator, and the number on the bottom is called the denominator. To get a decimal using the division method, simply divide the numerator 149 by the denominator 4:
149 (numerator) ÷ 4 (denominator) = 37.25
And there you go! We got 37.25 as the answer when you convert 29 33/4 (or 149/4) to a decimal.
Practice more 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:
What is 1 11/45 as a decimal?
What is 1 58/43 as a decimal?
What is 5 13/26 as a decimal?
What is 5 8/28 as a decimal?