37/15 to a mixed number

How to write 37/15 as a Mixed Number?

Answer: Fraction 37/15 as a mixed number it is 2 7/15

Since we have an improper fraction (the numerator [37] is greater than the denominator [15]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

37
/
15
=2
7
/
15

Steps to convert 37/15 to a mixed number

In order to convert our improper fraction 37/15 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 [15] goes into the numerator [37]. To do this we divide the numerator by the denominator:

37 ÷ 15 = 2.47 = 2

(Quotient of 2 and a remainder of 7)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [7].

You may also calculate a remainder by using the whole number we calculated in the first step [2] and multiplying it by the original denominator [15]. And then subtract the result from the original numerator [37]:

37 - (2 × 15)

=

37 - 30 = 7

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [7] and put it above the original denominator [15], and then put the whole number [2] before it

37
/
15
=2
7
/
15

That's it! We have successfully converted the improper fraction 37/15 to the mixed number 2 7/15.

See Also

Fraction to a Mixed Number Conversion Table

FractionMixed Number
39/15
40/15
2 11/15
42/15
2 13/15
2 14/15
45/153
48/15
50/15
51/15
54/15
55/15
3 11/15
57/15
3 13/15
3 14/15
60/154
63/15
65/15
66/15

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 37/15 as a Mixed Number? (The answer is: 2 7/15). Enter the fraction (numerator and denominator) (e.g. '37/15') 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 37/15 as a Mixed Number?

Fraction 37/15 as a mixed number it is 2 7/15