71/3 to a mixed number

How to write 71/3 as a Mixed Number?

Answer: Fraction 71/3 as a mixed number it is 23 2/3

Since we have an improper fraction (the numerator [71] is greater than the denominator [3]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

71
/
3
=23
2
/
3

Steps to convert 71/3 to a mixed number

In order to convert our improper fraction 71/3 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 [71]. To do this we divide the numerator by the denominator:

71 ÷ 3 = 23.67 = 23

(Quotient of 23 and a remainder of 2)

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

You may also calculate a remainder by using the whole number we calculated in the first step [23] and multiplying it by the original denominator [3]. And then subtract the result from the original numerator [71]:

71 - (23 × 3)

=

71 - 69 = 2

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [2] and put it above the original denominator [3], and then put the whole number [23] before it

71
/
3
=23
2
/
3

That's it! We have successfully converted the improper fraction 71/3 to the mixed number 23 2/3.

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 71/3 as a Mixed Number? (The answer is: 23 2/3). Enter the fraction (numerator and denominator) (e.g. '71/3') 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
23 2/3
72/324
24 1/3
24 2/3
75/325
76/325 1/3
77/325 2/3
78/326
26 1/3
26 2/3
81/327
27 1/3
27 2/3
84/328
28 1/3
28 2/3
87/329
88/329 1/3
29 2/3
90/330
30 1/3
30 2/3
93/331
31 1/3
95/331 2/3
96/332
97/332 1/3
32 2/3
99/333

FAQ

How to write 71/3 as a Mixed Number?

Fraction 71/3 as a mixed number it is 23 2/3