The first step to changing 133 47/144 into a decimal is to change it to an improper fraction. To do that, we need to multiply 133 by 144 and add its product to 47 in the numerator to get: 19199/144. Now we will attempt to convert 19199/144 to a decimal using the following method:
Put in a nutshell, a fraction is written in terms of two parts separated by a line in between: the number above the line is called the numerator and the number below the line is called the denominator. To solve this question, we can use the division method to get a decimal: simply divide the numerator 19199 by the denominator 144 to get the decimal:
19199 (numerator) ÷ 144 (denominator) = 133.33
That’s it! When you convert 133 47/144 (or 19199/144) to a decimal, 133.33 is your answer.
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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