What is 31 Divided by 17/13?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem. We have the whole number, 31, which is also the dividend, and the fraction, or the divisor, can be broken down into its numerator, 17, and its denominator, 13:
Whole number and dividend: 31
Numerator of the divisor: 17
Denominator of the divisor: 13
So, what is 31 divided by 17/13? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 31 Divided by 17/13, Step-by-step
First let’s set up the problem:
31
÷
17
13
31 ÷ \frac{17}{13}
31 ÷ 13 17
Step 1:
Take the whole number, 31, and multiply it by the denominator of the fraction, 13:
31 x 13 = 403
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:
31
⋅
13
17
=
403
17
\frac{ 31 \cdot 13 }{17} = \frac{403}{17}
17 31 ⋅ 13 = 17 403
To display the answer to 31 divided by 17/13 in decimal form, you can divide the numerator, 403, by the denominator, 17. The answer can be rounded to the nearest three decimal points, if needed:
403
17
=
403
17
=
23.71
\frac{403}{17} = \frac{403}{17}= 23.71
17 403 = 17 403 = 23.71
So, in decimal form, 31 divided by 17/13 = 23.71
And in its simplest fractional form, 31 divided by 17/13 is 403/17
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 7 equals 84?
What is 14 divided by 20/16?
What is 19/15 divided by 17/2?
51 divided by what equals 99?
What is 14/3 divided by 48?