75/16 to a mixed number

How to write 75/16 as a Mixed Number?

Answer: Fraction 75/16 as a mixed number it is 4 11/16

Since we have an improper fraction (the numerator [75] is greater than the denominator [16]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

75
/
16
=4
11
/
16

Steps to convert 75/16 to a mixed number

In order to convert our improper fraction 75/16 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 [16] goes into the numerator [75]. To do this we divide the numerator by the denominator:

75 ÷ 16 = 4.69 = 4

(Quotient of 4 and a remainder of 11)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [11].

You may also calculate a remainder by using the whole number we calculated in the first step [4] and multiplying it by the original denominator [16]. And then subtract the result from the original numerator [75]:

75 - (4 × 16)

=

75 - 64 = 11

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [11] and put it above the original denominator [16], and then put the whole number [4] before it

75
/
16
=4
11
/
16

That's it! We have successfully converted the improper fraction 75/16 to the mixed number 4 11/16.

Related Calculations

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 75/16 as a Mixed Number? (The answer is: 4 11/16). Enter the fraction (numerator and denominator) (e.g. '75/16') 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
4 11/16
76/16
77/164 13/16
78/16
4 15/16
80/165
82/16
84/16
86/16
87/16
88/16
89/16
90/16
5 11/16
92/16
93/165 13/16
94/16
5 15/16
96/166
98/16
99/16
100/16
101/16
102/16
103/16
104/16

FAQ

How to write 75/16 as a Mixed Number?

Fraction 75/16 as a mixed number it is 4 11/16