What is 4 Divided by 11/8?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem. We have the whole number, 4, which is also the dividend, and the fraction, or the divisor, can be broken down into its numerator, 11, and its denominator, 8:
Whole number and dividend: 4
Numerator of the divisor: 11
Denominator of the divisor: 8
So, what is 4 divided by 11/8? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 4 Divided by 11/8, Step-by-step
First let’s set up the problem:
4
÷
11
8
4 ÷ \frac{11}{8}
4 ÷ 8 11
Step 1:
Take the whole number, 4, and multiply it by the denominator of the fraction, 8:
4 x 8 = 32
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:
4
⋅
8
11
=
32
11
\frac{ 4 \cdot 8 }{11} = \frac{32}{11}
11 4 ⋅ 8 = 11 32
To display the answer to 4 divided by 11/8 in decimal form, you can divide the numerator, 32, by the denominator, 11. The answer can be rounded to the nearest three decimal points, if needed:
32
11
=
32
11
=
2.91
\frac{32}{11} = \frac{32}{11}= 2.91
11 32 = 11 32 = 2.91
So, in decimal form, 4 divided by 11/8 = 2.91
And in its simplest fractional form, 4 divided by 11/8 is 32/11
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!
What divided by 32 equals 96?
What is 69 divided by 17/5?
What is 8/11 divided by 10/15?
31 divided by what equals 56?
What is 20/7 divided by 41?