22/3 to a mixed number

How to write 22/3 as a Mixed Number?

Answer: Fraction 22/3 as a mixed number it is 7 1/3

Since we have an improper fraction (the numerator [22] is greater than the denominator [3]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

22
/
3
=7
1
/
3

Steps to convert 22/3 to a mixed number

In order to convert our improper fraction 22/3 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 [22]. To do this we divide the numerator by the denominator:

22 ÷ 3 = 7.33 = 7

(Quotient of 7 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 [7] and multiplying it by the original denominator [3]. And then subtract the result from the original numerator [22]:

22 - (7 × 3)

=

22 - 21 = 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 [7] before it

22
/
3
=7
1
/
3

That's it! We have successfully converted the improper fraction 22/3 to the mixed number 7 1/3.

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 22/3 as a Mixed Number? (The answer is: 7 1/3). Enter the fraction (numerator and denominator) (e.g. '22/3') 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.

Fraction to a Mixed Number Conversion Table

FractionMixed Number
24/38
27/39
30/310
11
11 1/3
11 2/3
36/312
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

FAQ

How to write 22/3 as a Mixed Number?

Fraction 22/3 as a mixed number it is 7 1/3