Math Tutor Explains: What is 37/38 Divided by 84?

First, let’s break down each piece of the problem. We have the fraction, 37/38, which is also the dividend, and the whole number, or the divisor, which is 84:

Numerator of the dividend: 37

Denominator of the dividend: 38

Whole number and divisor: 84

So what is 37/38 Divided by 84? 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, 84, and multiply it by the denominator of the fraction, 38:

38 x 84 = 3192

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 37/38 Divided by 84 in decimal form, you can divide the numerator, 3192, by the denominator, 37. The answer can be rounded to the nearest three decimal points, if needed:

So, in decimal form, 37 divided by 38/84 = 86.27

And in its simplest fractional form, 37 divided by 38/84 is 3192/37

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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