45/4 to a mixed number

How to write 45/4 as a Mixed Number?

Answer: Fraction 45/4 as a mixed number it is 11 1/4

Since we have an improper fraction (the numerator [45] is greater than the denominator [4]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

45
/
4
=11
1
/
4

Steps to convert 45/4 to a mixed number

In order to convert our improper fraction 45/4 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 [45]. To do this we divide the numerator by the denominator:

45 ÷ 4 = 11.25 = 11

(Quotient of 11 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 [11] and multiplying it by the original denominator [4]. And then subtract the result from the original numerator [45]:

45 - (11 × 4)

=

45 - 44 = 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 [4], and then put the whole number [11] before it

45
/
4
=11
1
/
4

That's it! We have successfully converted the improper fraction 45/4 to the mixed number 11 1/4.

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 45/4 as a Mixed Number? (The answer is: 11 1/4). Enter the fraction (numerator and denominator) (e.g. '45/4') 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.

Fraction to a Mixed Number Conversion Table

FractionMixed Number
46/4
11 3/4
48/412
50/4
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
15 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

FAQ

How to write 45/4 as a Mixed Number?

Fraction 45/4 as a mixed number it is 11 1/4