45/31 to a mixed number

How to write 45/31 as a Mixed Number?

Answer: Fraction 45/31 as a mixed number it is 1 14/31

Since we have an improper fraction (the numerator [45] is greater than the denominator [31]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

45
/
31
=1
14
/
31

Steps to convert 45/31 to a mixed number

In order to convert our improper fraction 45/31 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 [31] goes into the numerator [45]. To do this we divide the numerator by the denominator:

45 ÷ 31 = 1.45 = 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 [31]. And then subtract the result from the original numerator [45]:

45 - (1 × 31)

=

45 - 31 = 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 [31], and then put the whole number [1] before it

45
/
31
=1
14
/
31

That's it! We have successfully converted the improper fraction 45/31 to the mixed number 1 14/31.

Fraction to a Mixed Number Conversion Table

FractionMixed Number
1 14/31
46/311 15/31
47/311 16/31
48/311 17/31
49/311 18/31
50/311 19/31
51/311 20/31
52/311 21/31
53/311 22/31
54/311 23/31
55/311 24/31
56/311 25/31
57/311 26/31
58/311 27/31
1 28/31
60/311 29/31
61/311 30/31
62/312
2 1/31
64/312 2/31
2 3/31
66/312 4/31
67/312 5/31
68/312 6/31
69/312 7/31
70/312 8/31
71/312 9/31
2 10/31
73/312 11/31
74/312 12/31

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 45/31 as a Mixed Number? (The answer is: 1 14/31). Enter the fraction (numerator and denominator) (e.g. '45/31') 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 45/31 as a Mixed Number?

Fraction 45/31 as a mixed number it is 1 14/31