What is 5/16 Divided by 7?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem. We have the fraction, 5/16, which is also the dividend, and the whole number, or the divisor, which is 7:
Numerator of the dividend: 5
Denominator of the dividend: 16
Whole number and divisor: 7
So what is 5/16 Divided by 7? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 5/16 Divided by 7, Step-by-step
First let’s set up the problem:
5
16
÷
7
\frac{5}{16} ÷ 7
16 5 ÷ 7
Step 1:
Take the whole number, 7, and multiply it by the denominator of the fraction, 16:
16 x 7 = 112
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:
16
⋅
7
5
=
112
5
\frac{ 16 \cdot 7 }{5} = \frac{112}{5}
5 16 ⋅ 7 = 5 112
To display the answer to 5/16 Divided by 7 in decimal form, you can divide the numerator, 112, by the denominator, 5. The answer can be rounded to the nearest three decimal points, if needed:
112
5
=
112
5
=
22.4
\frac{112}{5} = \frac{112}{5}= 22.4
5 112 = 5 112 = 22.4
So, in decimal form, 5 divided by 16/7 = 22.4
And in its simplest fractional form, 5 divided by 16/7 is 112/5
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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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