Math Tutor Explains: What is 31/4 Divided by 14?

First, let’s break down each piece of the problem. We have the fraction, 31/4, which is also the dividend, and the whole number, or the divisor, which is 14:

Numerator of the dividend: 31

Denominator of the dividend: 4

Whole number and divisor: 14

So what is 31/4 Divided by 14? 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, 14, and multiply it by the denominator of the fraction, 4:

4 x 14 = 56

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 31/4 Divided by 14 in decimal form, you can divide the numerator, 56, by the denominator, 31. The answer can be rounded to the nearest three decimal points, if needed:

So, in decimal form, 31 divided by 4/14 = 1.81

And in its simplest fractional form, 31 divided by 4/14 is 56/31

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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