What is 256 1/256 as a decimal?

Today, we will walk you through how to convert 256 1/256 to a decimal. In this particular guide we’ll show how to use the division method, one of the easiest ways to convert a fraction to a decimal.

Solution: 256 1/256 as a decimal is 256.0

Methods

First step – 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 one of the following methods:

Explanation using the division method:

A fraction is written in terms of two parts: the number on top is called the numerator and the number on the bottom is called the denominator. We can use the division method to solve this question. To get a decimal, simply divide the numerator 65537 by the denominator 256:

65537 (numerator) ÷ 256 (denominator) = 256.0

As a result, you get 256.0 as your answer when you convert 256 1/256 (or 65537/256) to a decimal. 8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

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