Math Tutor Explains: What is 51/64 Divided by 85?

First, let’s break down each piece of the problem. We have the fraction, 51/64, which is also the dividend, and the whole number, or the divisor, which is 85:

Numerator of the dividend: 51

Denominator of the dividend: 64

Whole number and divisor: 85

So what is 51/64 Divided by 85? 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, 85, and multiply it by the denominator of the fraction, 64:

64 x 85 = 5440

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 51/64 Divided by 85 in decimal form, you can divide the numerator, 5440, by the denominator, 51. The answer can be rounded to the nearest three decimal points, if needed:

So, in decimal form, 51 divided by 64/85 = 106.67

And in its simplest fractional form, 51 divided by 64/85 is 320/3

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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