What is 3/10 Divided by 11?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem. We have the fraction, 3/10, which is also the dividend, and the whole number, or the divisor, which is 11:
Numerator of the dividend: 3
Denominator of the dividend: 10
Whole number and divisor: 11
So what is 3/10 Divided by 11? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 3/10 Divided by 11, Step-by-step
First let’s set up the problem:
3
10
÷
11
\frac{3}{10} ÷ 11
10 3 ÷ 11
Step 1:
Take the whole number, 11, and multiply it by the denominator of the fraction, 10:
10 x 11 = 110
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:
10
⋅
11
3
=
110
3
\frac{ 10 \cdot 11 }{3} = \frac{110}{3}
3 10 ⋅ 11 = 3 110
To display the answer to 3/10 Divided by 11 in decimal form, you can divide the numerator, 110, by the denominator, 3. The answer can be rounded to the nearest three decimal points, if needed:
110
3
=
110
3
=
36.67
\frac{110}{3} = \frac{110}{3}= 36.67
3 110 = 3 110 = 36.67
So, in decimal form, 3 divided by 10/11 = 36.67
And in its simplest fractional form, 3 divided by 10/11 is 110/3
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