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:
Put in a nutshell, a fraction is written in terms of two parts separated by a line in between: the number above the line is called the numerator and the number below the line is called the denominator. To solve this question, we can use the division method to get a decimal: simply divide the numerator 65537 by the denominator 256 to get the decimal:
65537 (numerator) ÷ 256 (denominator) = 256
That’s it! When you convert 256 1/256 (or 65537/256) to a decimal, 256 is your answer.
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:
Take advantage of our free downloadable resources and study materials for at-home learning.
One thing we teach our students at Thinkster is that there are multiple ways to solve a math problem. This helps our students learn to think flexibly and non-linearly.
Get PDF
As a parent, you hope your child is extremely successful and likely become the next Gates, Zuckerberg, or Meg Whitman. To set your child on the right path, there are many skills and traits that you can start building and nurturing now. Doing so plants the seeds for future success.
Get PDF