What is 13/17 Divided by 6/16?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem, as each piece is important. We have the first fraction, or the dividend, which can be broken down into its numerator, 13, and its denominator, 17. We also have the second fraction, or the divisor, which can be broken down into its numerator, 6, and its denominator, 16:
Numerator of the dividend: 13
Denominator of the dividend: 17
Numerator of the divisor: 6
Denominator of the divisor: 16
So, what is 13/17 divided by 6/16? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 13/17 Divided by 6/16, Step-by-step
First let’s set up the problem:
13
17
÷
6
16
\frac{13}{17} ÷ \frac{6}{16}
17 13 ÷ 16 6
Step 1:
Interestingly, the first step to solving a division problem between two fractions is to multiply. First, you multiply the numerator of the dividend, 13, by the denominator of the divisor, 16.
13 x 16 = 208
This will become the numerator of the answer.
Step 2:
Then, multiply the denominator of the dividend, 17, by the numerator of the divisor, 6:
17 x 6 = 102
This will be the denominator of the answer.
Step 3:
Put the two answers together into one fraction, and this will be the answer to the problem in fraction form:
208
102
\frac{208}{102}
102 208
=
104
51
\frac{104}{51}
51 104
To display the answer to 13/17 divided by 6/16 in decimal form, you can continue to divide the numerator of the answer, 208, by the denominator, 102. The answer can be rounded to the nearest three decimal points, if needed:
208
102
=
2.039
\frac{208}{102}= 2.039
102 208 = 2.039
So in decimal form, 13/17 divided by 6/16 = 2.039
And in fractional form, 13/17 divided by 6/16 is 104/51
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 19/11 divided by 12?
58 divided by what equals 2?
What divided by 36 equals 48?
What is 20/6 divided by 3/12?
What is 42 divided by 2/10?