Math Tutor Explains: What is 6412/4064 as a decimal?

Decimals and fractions are two ways you can write the same number. A decimal is written when in two parts, its whole numbers part and its decimals part – with a decimal point in between. In this article, a math tutor will help you learn how to convert 6412/4064 to a decimal using the division method.

Math Tutor Solution: 6412/4064 as a decimal is 1.58

Methods

Math tutor explanation 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 6412 by the denominator 4064 (which you can enter in any calculator):

6412 (numerator) ÷ 4064 (denominator) = 1.58

And finally, you get 1.58 as your answer when you convert 6412/4064 to a decimal.

Math Tutor Suggests: Practice more conversion problems

Our math tutors say that all it takes to be better at something is some practice! Take a look at some more similar problems on converting fractions to decimals and give them a go:

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