74/3 to a mixed number

How to write 74/3 as a Mixed Number?

Answer: Fraction 74/3 as a mixed number it is 24 2/3

Since we have an improper fraction (the numerator [74] is greater than the denominator [3]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

74
/
3
=24
2
/
3

Steps to convert 74/3 to a mixed number

In order to convert our improper fraction 74/3 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 [74]. To do this we divide the numerator by the denominator:

74 ÷ 3 = 24.67 = 24

(Quotient of 24 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 [24] and multiplying it by the original denominator [3]. And then subtract the result from the original numerator [74]:

74 - (24 × 3)

=

74 - 72 = 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 [24] before it

74
/
3
=24
2
/
3

That's it! We have successfully converted the improper fraction 74/3 to the mixed number 24 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 74/3 as a Mixed Number? (The answer is: 24 2/3). Enter the fraction (numerator and denominator) (e.g. '74/3') 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 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
101/333 2/3
102/334
103/334 1/3

FAQ

How to write 74/3 as a Mixed Number?

Fraction 74/3 as a mixed number it is 24 2/3