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Math Tutor Solution: 4 46/38 as a decimal is 5.21
Methods
First step from a math tutor – Making the fraction improper:
The first step to changing 4 46/38 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 38 and add its product to 46 in the numerator to get: 198/38. Now we will attempt to convert 198/38 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 198 by the denominator 38 (which you can enter in any calculator):
198 (numerator) ÷ 38 (denominator) = 5.21
And finally, you get 5.21 as your answer when you convert 4 46/38 (or 198/38) 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:
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