Math Tutor Explains: What is 256 1/256 as a decimal?

Our math tutors share that there are different ways to represent the same number: fractions, decimals, and even percentages. In this particular guide, let’s explore how we can use the division method to convert 256 1/256 to a decimal.

Math Tutor Solution: 256 1/256 as a decimal is 256

Methods

First step from a math tutor – Making the fraction improper:

The first step to changing 256 1/256 into a decimal is to change it to an improper fraction. To do that, we need to multiply 256 by 256 and add its product to 1 in the numerator to get: 65537/256. Now we will attempt to convert 65537/256 to a decimal using the following method:

Math tutor's explanation for using the division method:

One method to convert 65537/256 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 65537 by the denominator 256:

65537 (numerator) ÷ 256 (denominator) = 256

And there you go! We got 256 as the answer when you convert 256 1/256 (or 65537/256) to a decimal.

Math Tutor Suggests: Practice more problems!

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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