First, let’s break down each piece of the problem. We have the fraction, 14/6, which is also the dividend, and the whole number, or the divisor, which is 17:
Numerator of the dividend: 14
Denominator of the dividend: 6
Whole number and divisor: 17
So what is 14/6 Divided by 17? 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, 17, and multiply it by the denominator of the fraction, 6:
6 x 17 = 102
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 14/6 Divided by 17 in decimal form, you can divide the numerator, 102, by the denominator, 14. The answer can be rounded to the nearest three decimal points, if needed:
So, in decimal form, 14 divided by 6/17 = 7.29
And in its simplest fractional form, 14 divided by 6/17 is 51/7
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!
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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.
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