The first step to changing 36 75/105 into a decimal is to change it to an improper fraction. To do that, we need to multiply 36 by 105 and add its product to 75 in the numerator to get: 3855/105. Now we will attempt to convert 3855/105 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 3855 by the denominator 105 to get the decimal:
3855 (numerator) ÷ 105 (denominator) = 36.71
That’s it! When you convert 36 75/105 (or 3855/105) to a decimal, 36.71 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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