Math Tutor Explains: What is 35 148/100 as a decimal?

One method to convert 3648/100 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 3648 by the denominator 100:

3648 (numerator) ÷ 100 (denominator) = 36.48

And there you go! We got 36.48 as the answer when you convert 35 148/100 (or 3648/100) to a decimal.

In this method, we will convert the denominator into a power of 10 and then our fraction will be easier to calculate. If the denominator is a factor of a power of 10, like 2, 4, 5, 8, 10, 16, 20, 25, 40, 50 and so on, then we can convert it into a power of 10.

In order to make 100 a power of 10, we need to multiply by 1 (100 * 1 = 100. Since we multiplied the denominator by 1, we also need to multiply the numerator by 1 too:

And finally, you get 36.48 as your answer when you convert 35 148/100 (or 3648/100) to a decimal.

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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