What is 4/7 Divided by 11?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem. We have the fraction, 4/7, which is also the dividend, and the whole number, or the divisor, which is 11:
Numerator of the dividend: 4
Denominator of the dividend: 7
Whole number and divisor: 11
So what is 4/7 Divided by 11? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 4/7 Divided by 11, Step-by-step
First let’s set up the problem:
4
7
÷
11
\frac{4}{7} ÷ 11
7 4 ÷ 11
Step 1:
Take the whole number, 11, and multiply it by the denominator of the fraction, 7:
7 x 11 = 77
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:
7
⋅
11
4
=
77
4
\frac{ 7 \cdot 11 }{4} = \frac{77}{4}
4 7 ⋅ 11 = 4 77
To display the answer to 4/7 Divided by 11 in decimal form, you can divide the numerator, 77, by the denominator, 4. The answer can be rounded to the nearest three decimal points, if needed:
77
4
=
77
4
=
19.25
\frac{77}{4} = \frac{77}{4}= 19.25
4 77 = 4 77 = 19.25
So, in decimal form, 4 divided by 7/11 = 19.25
And in its simplest fractional form, 4 divided by 7/11 is 77/4
Practice Other Division Problems Like This One
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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