37/3 to a mixed number

How to write 37/3 as a Mixed Number?

Answer: Fraction 37/3 as a mixed number it is 12 1/3

Since we have an improper fraction (the numerator [37] is greater than the denominator [3]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

37
/
3
=12
1
/
3

Steps to convert 37/3 to a mixed number

In order to convert our improper fraction 37/3 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 [3] goes into the numerator [37]. To do this we divide the numerator by the denominator:

37 ÷ 3 = 12.33 = 12

(Quotient of 12 and a remainder of 1)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [1].

You may also calculate a remainder by using the whole number we calculated in the first step [12] and multiplying it by the original denominator [3]. And then subtract the result from the original numerator [37]:

37 - (12 × 3)

=

37 - 36 = 1

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [1] and put it above the original denominator [3], and then put the whole number [12] before it

37
/
3
=12
1
/
3

That's it! We have successfully converted the improper fraction 37/3 to the mixed number 12 1/3.

Fraction to a Mixed Number Conversion Table

FractionMixed Number
12 1/3
12 2/3
39/313
13 1/3
13 2/3
42/314
14 1/3
14 2/3
45/315
15 1/3
15 2/3
48/316
16 1/3
16 2/3
51/317
17 1/3
17 2/3
54/318
18 1/3
18 2/3
57/319
19 1/3
19 2/3
60/320
20 1/3
20 2/3
63/321
21 1/3
21 2/3
66/322

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 37/3 as a Mixed Number? (The answer is: 12 1/3). Enter the fraction (numerator and denominator) (e.g. '37/3') 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 37/3 as a Mixed Number?

Fraction 37/3 as a mixed number it is 12 1/3