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Math Tutor Solution: 30 46/5 as a decimal is 39.2
Methods
First step from a math tutor – Making the fraction improper:
The first step to changing 30 46/5 into a decimal is to change it to an improper fraction. To do that, we need to multiply 30 by 5 and add its product to 46 in the numerator to get: 196/5. Now we will attempt to convert 196/5 to a decimal using the following method:
Math tutor's explanation for using the division method:
One method to convert 196/5 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 196 by the denominator 5:
196 (numerator) ÷ 5 (denominator) = 39.2
And there you go! We got 39.2 as the answer when you convert 30 46/5 (or 196/5) to a decimal.
Math Tutor Suggests: Practice more 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:
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