Math Tutor Explains: What is 105 13/100 as a decimal?

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 10513 by the denominator 100 (which you can enter in any calculator):

10513 (numerator) ÷ 100 (denominator) = 105.13

And finally, you get 105.13 as your answer when you convert 105 13/100 (or 10513/100) to a decimal.

Sometimes, dividing a number by a power of 10 (like 10, 100, 1000 etc.) is easy because all you need to do is move the invisible decimal place left by how many zeros you have in the power of 10. But for this question, the denominator, 100, isn’t a power of 10.

However, we can change the fraction: 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 the fraction into one that is easy to calculate.

To do this, we need to make the denominator to a power of 10 - to make 100 a power of 10, we need to multiply by 1 (100 * 1 = 100). We multiplied the denominator by 1, so now we need to also multiply the numerator by 1 too:

And finally, you get 105.13 as your answer when you convert 105 13/100 (or 10513/100) 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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