31/17 to a mixed number

How to write 31/17 as a Mixed Number?

Answer: Fraction 31/17 as a mixed number it is 1 14/17

Since we have an improper fraction (the numerator [31] is greater than the denominator [17]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

31
/
17
=1
14
/
17

Steps to convert 31/17 to a mixed number

In order to convert our improper fraction 31/17 to a mixed number, we need to follow three basic steps:

1. Find the whole number. First we need to calculate how many times the denominator [17] goes into the numerator [31]. To do this we divide the numerator by the denominator:

31 ÷ 17 = 1.82 = 1

(Quotient of 1 and a remainder of 14)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [14].

You may also calculate a remainder by using the whole number we calculated in the first step [1] and multiplying it by the original denominator [17]. And then subtract the result from the original numerator [31]:

31 - (1 × 17)

=

31 - 17 = 14

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [14] and put it above the original denominator [17], and then put the whole number [1] before it

31
/
17
=1
14
/
17

That's it! We have successfully converted the improper fraction 31/17 to the mixed number 1 14/17.

See Also

Fraction to a Mixed Number Conversion Table

FractionMixed Number
1 14/17
32/171 15/17
1 16/17
34/172
39/17
2 6/17
41/17
43/172 9/17
44/17
45/172 11/17
46/17
2 13/17
2 14/17
49/172 15/17
50/172 16/17
51/173
3 1/17
55/173 4/17
3 7/17
59/173 8/17

Fraction to Mixed Number Converter

This calculator will help you to convert an Improper Fraction to a Mixed Number. For example, it can help you find out how to write 31/17 as a Mixed Number? (The answer is: 1 14/17). Enter the fraction (numerator and denominator) (e.g. '31/17') and hit the 'Convert' button.
An improper fraction is a type of fraction where the numerator is greater than or equal to the denominator. A mixed number is a combination of a whole number and a proper fraction.

FAQ

How to write 31/17 as a Mixed Number?

Fraction 31/17 as a mixed number it is 1 14/17