Math Tutor Explains: What is 1/16 Divided by 27?

In this problem we will divide a fraction, 1/16, by a whole number, 27. As your math tutor, I'll help walk through this problem step-by-step so that you can see the full process of dividing a fraction by a whole number.

Math Tutor's Solution to What is 1/16 Divided by 27?

Methods

Breaking down the problem:

First, let’s break down each piece of the problem. We have the fraction, 1/16, which is also the dividend, and the whole number, or the divisor, which is 27:

Numerator of the dividend: 1

Denominator of the dividend: 16

Whole number and divisor: 27

So, what is 1/16 Divided by 27? Let’s work through the problem and find the answer in both fraction and decimal forms.

What is 1/16 Divided by 27, Step-by-step from Math Tutor

First let’s set up the problem:

116÷27\frac{1}{16} ÷ 27

Step 1:

The first step of this solution is to multiple the denominator of the dividend, 16, by the whole number 27:

16 x 27 = 432

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:

432/1 = 432/1

A fraction that has 1 as its denominator is an improper fraction. So, we should simplify this to just the numerator. Since the numerator is a whole number, there is no reason to write the answer in decimal form.

So, 1 divided by 16/27 = 432

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