51/4 to a mixed number

How to write 51/4 as a Mixed Number?

Answer: Fraction 51/4 as a mixed number it is 12 3/4

Since we have an improper fraction (the numerator [51] is greater than the denominator [4]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

51
/
4
=12
3
/
4

Steps to convert 51/4 to a mixed number

In order to convert our improper fraction 51/4 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 [4] goes into the numerator [51]. To do this we divide the numerator by the denominator:

51 ÷ 4 = 12.75 = 12

(Quotient of 12 and a remainder of 3)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [3].

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 [4]. And then subtract the result from the original numerator [51]:

51 - (12 × 4)

=

51 - 48 = 3

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [3] and put it above the original denominator [4], and then put the whole number [12] before it

51
/
4
=12
3
/
4

That's it! We have successfully converted the improper fraction 51/4 to the mixed number 12 3/4.

See Also

Fraction to a Mixed Number Conversion Table

FractionMixed Number
52/413
13 1/4
54/413 1/2
13 3/4
14
14 1/4
58/414 1/2
14 3/4
60/415
61/415 1/4
62/415 1/2
64/416
66/416 1/2
16 3/4
68/417
17 1/4
70/4
17 3/4
72/418
18 1/4
74/4
76/419
77/419 1/4
78/4
19 3/4
80/420

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 51/4 as a Mixed Number? (The answer is: 12 3/4). Enter the fraction (numerator and denominator) (e.g. '51/4') 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 51/4 as a Mixed Number?

Fraction 51/4 as a mixed number it is 12 3/4