What is 3/17 Divided by 53?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem. We have the fraction, 3/17, which is also the dividend, and the whole number, or the divisor, which is 53:
Numerator of the dividend: 3
Denominator of the dividend: 17
Whole number and divisor: 53
So what is 3/17 Divided by 53? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 3/17 Divided by 53, Step-by-step
First let’s set up the problem:
3
17
÷
53
\frac{3}{17} ÷ 53
17 3 ÷ 53
Step 1:
Take the whole number, 53, and multiply it by the denominator of the fraction, 17:
17 x 53 = 901
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:
17
⋅
53
3
=
901
3
\frac{ 17 \cdot 53 }{3} = \frac{901}{3}
3 17 ⋅ 53 = 3 901
To display the answer to 3/17 Divided by 53 in decimal form, you can divide the numerator, 901, by the denominator, 3. The answer can be rounded to the nearest three decimal points, if needed:
901
3
=
901
3
=
300.33
\frac{901}{3} = \frac{901}{3}= 300.33
3 901 = 3 901 = 300.33
So, in decimal form, 3 divided by 17/53 = 300.33
And in its simplest fractional form, 3 divided by 17/53 is 901/3
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 is 10/13 divided by 18/5?
What is 62 divided by 6/9?
What divided by 67 equals 32?
5 divided by what equals 60?
What is 17/15 divided by 82?