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What is 30 Divided by 5/16?
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Math tutor breaks down the problem:
First, let’s break down each piece of the problem. We have the whole number, 30, which is also the dividend, and the fraction, or the divisor, can be broken down into its numerator, 5, and its denominator, 16:
Whole number and dividend: 30
Numerator of the divisor: 5
Denominator of the divisor: 16
So, what is 30 divided by 5/16? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 30 Divided by 5/16, Step-by-step from math tutor
First let’s set up the problem:
Step 1:
Take the whole number, 30, and multiply it by the denominator of the fraction, 16:
30 x 16 = 480
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:
480/5 = 96/1
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, 30 divided by 5/16 = 96
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