Math Tutor Explains: What is 27/35 Divided by 31?

First, let’s break down each piece of the problem. We have the fraction, 27/35, which is also the dividend, and the whole number, or the divisor, which is 31:

Numerator of the dividend: 27

Denominator of the dividend: 35

Whole number and divisor: 31

So what is 27/35 Divided by 31? 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, 31, and multiply it by the denominator of the fraction, 35:

35 x 31 = 1085

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 27/35 Divided by 31 in decimal form, you can divide the numerator, 1085, by the denominator, 27. The answer can be rounded to the nearest three decimal points, if needed:

So, in decimal form, 27 divided by 35/31 = 40.19

And in its simplest fractional form, 27 divided by 35/31 is 1085/27

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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