Math Tutor Explains: What is 7/31 Divided by 6?

First, let’s break down each piece of the problem. We have the fraction, 7/31, which is also the dividend, and the whole number, or the divisor, which is 6:

Numerator of the dividend: 7

Denominator of the dividend: 31

Whole number and divisor: 6

So what is 7/31 Divided by 6? 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, 6, and multiply it by the denominator of the fraction, 31:

31 x 6 = 186

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 7/31 Divided by 6 in decimal form, you can divide the numerator, 186, by the denominator, 7. The answer can be rounded to the nearest three decimal points, if needed:

So, in decimal form, 7 divided by 31/6 = 26.57

And in its simplest fractional form, 7 divided by 31/6 is 186/7

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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