What is 11 Divided by 14/9?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem. We have the whole number, 11, which is also the dividend, and the fraction, or the divisor, can be broken down into its numerator, 14, and its denominator, 9:
Whole number and dividend: 11
Numerator of the divisor: 14
Denominator of the divisor: 9
So, what is 11 divided by 14/9? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 11 Divided by 14/9, Step-by-step
First let’s set up the problem:
11
÷
14
9
11 ÷ \frac{14}{9}
11 ÷ 9 14
Step 1:
Take the whole number, 11, and multiply it by the denominator of the fraction, 9:
11 x 9 = 99
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:
11
⋅
9
14
=
99
14
\frac{ 11 \cdot 9 }{14} = \frac{99}{14}
14 11 ⋅ 9 = 14 99
To display the answer to 11 divided by 14/9 in decimal form, you can divide the numerator, 99, by the denominator, 14. The answer can be rounded to the nearest three decimal points, if needed:
99
14
=
99
14
=
7.07
\frac{99}{14} = \frac{99}{14}= 7.07
14 99 = 14 99 = 7.07
So, in decimal form, 11 divided by 14/9 = 7.07
And in its simplest fractional form, 11 divided by 14/9 is 99/14
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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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