7/3 to a mixed number

How to write 7/3 as a Mixed Number?

Answer: Fraction 7/3 as a mixed number it is 2 1/3

Since we have an improper fraction (the numerator [7] is greater than the denominator [3]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

7
/
3
=2
1
/
3

Steps to convert 7/3 to a mixed number

In order to convert our improper fraction 7/3 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 [7]. To do this we divide the numerator by the denominator:

7 ÷ 3 = 2.33 = 2

(Quotient of 2 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 [2] and multiplying it by the original denominator [3]. And then subtract the result from the original numerator [7]:

7 - (2 × 3)

=

7 - 6 = 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 [2] before it

7
/
3
=2
1
/
3

That's it! We have successfully converted the improper fraction 7/3 to the mixed number 2 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 7/3 as a Mixed Number? (The answer is: 2 1/3). Enter the fraction (numerator and denominator) (e.g. '7/3') 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.

FAQ

How to write 7/3 as a Mixed Number?

Fraction 7/3 as a mixed number it is 2 1/3