37/20 to a mixed number

Fraction to Mixed Number Converter

Improper Fraction to Convert

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How to write 37/20 as a Mixed Number?

Answer

The fraction 37/20 as a mixed number is 1 17/20

Since we have an improper fraction (the numerator [37] is greater than the denominator [20]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

37
20
=1
17
20

Steps to convert 37/20 to a mixed number

In order to convert our improper fraction 37/20 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 [20] goes into the numerator [37]. To do this we divide the numerator by the denominator:

37 ÷ 20 = 1.85 = 1

(Quotient of 1 and a remainder of 17)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [17].

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 [20]. And then subtract the result from the original numerator [37]:

37 - (1 × 20)

=

37 - 20 = 17

3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [17] and put it above the original denominator [20], and then put the whole number [1] before it

37
20
=1
17
20

That's it! We have successfully converted the improper fraction 37/20 to the mixed number 1 17/20.

See Also

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 37/20 as a Mixed Number? (The answer is: 1 17/20). Enter the fraction (numerator and denominator) (e.g. '37/20') 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.

Fraction to Mixed Number Converter

Improper Fraction to Convert

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Fraction to a Mixed Number Conversion Table

FractionMixed Number
37/201 17/20
38/201 9/10
39/201 19/20
40/202
41/202 1/20
42/202 1/10
43/202 3/20
44/202 1/5
45/202 1/4
46/202 3/10
47/202 7/20
48/202 2/5
49/202 9/20
50/202 1/2
51/202 11/20
52/202 3/5
53/202 13/20
54/202 7/10
55/202 3/4
56/202 4/5
57/202 17/20
58/202 9/10
59/202 19/20
60/203
61/203 1/20
62/203 1/10
63/203 3/20
64/203 1/5
65/203 1/4
66/203 3/10

FAQ

How to write 37/20 as a Mixed Number?

The fraction 37/20 as a mixed number is 1 17/20

How do you convert 37/20 to a mixed number?

To convert 37/20 to a mixed number, divide the numerator (37) by the denominator (20). The quotient is 1 (whole number) and the remainder is 17. So 37/20 = 1 17/20.

What is the difference between an improper fraction and a mixed number?

An improper fraction has a numerator greater than or equal to its denominator (e.g., 37/20). A mixed number combines a whole number with a proper fraction (e.g., 1 17/20). They represent the same value.