Math Tutor Explains: What is 82/78 Divided by 38?

First, let’s break down each piece of the problem. We have the fraction, 82/78, which is also the dividend, and the whole number, or the divisor, which is 38:

Numerator of the dividend: 82

Denominator of the dividend: 78

Whole number and divisor: 38

So what is 82/78 Divided by 38? 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, 38, and multiply it by the denominator of the fraction, 78:

78 x 38 = 2964

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 82/78 Divided by 38 in decimal form, you can divide the numerator, 2964, by the denominator, 82. The answer can be rounded to the nearest three decimal points, if needed:

So, in decimal form, 82 divided by 78/38 = 36.15

And in its simplest fractional form, 82 divided by 78/38 is 1482/41

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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