First, let’s break down each piece of the problem. We have the fraction, 17/6, which is also the dividend, and the whole number, or the divisor, which is 30:
Numerator of the dividend: 17
Denominator of the dividend: 6
Whole number and divisor: 30
So what is 17/6 Divided by 30? Let’s work through the problem, and find the answer in both fraction and decimal forms.
First let’s set up the problem:
Step 1:
Take the whole number, 30, and multiply it by the denominator of the fraction, 6:
6 x 30 = 180
Step 2:
The result of this multiplication will now become the denominator of the answer. The answer to the problem in fraction form can now be seen:
To display the answer to 17/6 Divided by 30 in decimal form, you can divide the numerator, 180, by the denominator, 17. The answer can be rounded to the nearest three decimal points, if needed:
So, in decimal form, 17 divided by 6/30 = 10.59
And in its simplest fractional form, 17 divided by 6/30 is 180/17
If this problem was a little difficult or you want to practice your skills on another one, give it a go on any one of these too!
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