Math Tutor Explains: What is 31/38 Divided by 78?

First, let’s break down each piece of the problem. We have the fraction, 31/38, which is also the dividend, and the whole number, or the divisor, which is 78:

Numerator of the dividend: 31

Denominator of the dividend: 38

Whole number and divisor: 78

So what is 31/38 Divided by 78? 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, 78, and multiply it by the denominator of the fraction, 38:

38 x 78 = 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 31/38 Divided by 78 in decimal form, you can divide the numerator, 2964, by the denominator, 31. The answer can be rounded to the nearest three decimal points, if needed:

So, in decimal form, 31 divided by 38/78 = 95.61

And in its simplest fractional form, 31 divided by 38/78 is 2964/31

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