What is 95 Divided by 16/15?

In this problem we will divide a whole number, 95, by a fraction, 16/15. We will walk through this problem step-by-step so that you can see the full process of dividing a whole number by a fraction.

What is 95 Divided by 16/15?

Methods

Breaking down the problem:

First, let’s break down each piece of the problem. We have the whole number, 95, which is also the dividend, and the fraction, or the divisor, can be broken down into its numerator, 16, and its denominator, 15:

Whole number and dividend: 95

Numerator of the divisor: 16

Denominator of the divisor: 15

So, what is 95 divided by 16/15? Let’s work through the problem, and find the answer in both fraction and decimal forms.

What is 95 Divided by 16/15, Step-by-step

First let’s set up the problem:

95÷161595 ÷ \frac{16}{15}

Step 1:

Take the whole number, 95, and multiply it by the denominator of the fraction, 15:

95 x 15 = 1425

Step 2:

The numerator of the fraction will now become the denominator of the answer. The answer to the problem in fraction form can now be seen:

951516=142516\frac{ 95 \cdot 15 }{16} = \frac{1425}{16}

To display the answer to 95 divided by 16/15 in decimal form, you can divide the numerator, 1425, by the denominator, 16. The answer can be rounded to the nearest three decimal points, if needed:

142516=142516=89.06\frac{1425}{16} = \frac{1425}{16}= 89.06

So, in decimal form, 95 divided by 16/15 = 89.06

And in its simplest fractional form, 95 divided by 16/15 is 1425/16

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