75/17 to a mixed number

How to write 75/17 as a Mixed Number?

Answer: Fraction 75/17 as a mixed number it is 4 7/17

Since we have an improper fraction (the numerator [75] is greater than the denominator [17]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

75
/
17
=4
7
/
17

Steps to convert 75/17 to a mixed number

In order to convert our improper fraction 75/17 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 [17] goes into the numerator [75]. To do this we divide the numerator by the denominator:

75 ÷ 17 = 4.41 = 4

(Quotient of 4 and a remainder of 7)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [7].

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 [17]. And then subtract the result from the original numerator [75]:

75 - (4 × 17)

=

75 - 68 = 7

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [7] and put it above the original denominator [17], and then put the whole number [4] before it

75
/
17
=4
7
/
17

That's it! We have successfully converted the improper fraction 75/17 to the mixed number 4 7/17.

See Also

Fraction to a Mixed Number Conversion Table

FractionMixed Number
4 7/17
76/17
77/174 9/17
4 10/17
79/174 11/17
80/174 12/17
82/174 14/17
83/174 15/17
84/174 16/17
85/175
86/17
5 2/17
88/17
89/175 4/17
5 6/17
5 7/17
93/175 8/17
94/17
95/175 10/17
5 11/17
5 12/17
5 13/17
99/175 14/17
5 15/17
101/175 16/17
102/176
6 1/17
6 2/17

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 75/17 as a Mixed Number? (The answer is: 4 7/17). Enter the fraction (numerator and denominator) (e.g. '75/17') 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 75/17 as a Mixed Number?

Fraction 75/17 as a mixed number it is 4 7/17