Q:

What is 3 49/32 as a decimal?

Accepted Solution

A:
Solution: 3 49/32 as a decimal is 4.53MethodsFirst step – Making the fraction improper:The first step to changing 3 49/32 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 32 and add its product to 49 in the numerator to get: 145/32. Now we will attempt to convert 145/32 to a decimal using the following method:Explanation using the division method:One method to convert 145/32 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 145 by the denominator 32:145 (numerator) Γ· 32 (denominator) = 4.53And there you go! We got 4.53 as the answer when you convert 3 49/32 (or 145/32) 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 2 51/43 as a decimal?What is 3 18/40 as a decimal?What is 3 32/19 as a decimal?What is 1 61/36 as a decimal?