47/6 to a mixed number

How to write 47/6 as a Mixed Number?

Answer: Fraction 47/6 as a mixed number it is 7 5/6

Since we have an improper fraction (the numerator [47] is greater than the denominator [6]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

47
/
6
=7
5
/
6

Steps to convert 47/6 to a mixed number

In order to convert our improper fraction 47/6 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 [6] goes into the numerator [47]. To do this we divide the numerator by the denominator:

47 ÷ 6 = 7.83 = 7

(Quotient of 7 and a remainder of 5)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [5].

You may also calculate a remainder by using the whole number we calculated in the first step [7] and multiplying it by the original denominator [6]. And then subtract the result from the original numerator [47]:

47 - (7 × 6)

=

47 - 42 = 5

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [5] and put it above the original denominator [6], and then put the whole number [7] before it

47
/
6
=7
5
/
6

That's it! We have successfully converted the improper fraction 47/6 to the mixed number 7 5/6.

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 47/6 as a Mixed Number? (The answer is: 7 5/6). Enter the fraction (numerator and denominator) (e.g. '47/6') 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
48/68
50/6
51/6
52/6
54/69
56/6
57/6
58/6
60/610
62/6
63/6
64/6
66/611
67/611 1/6
68/611 1/3
69/6
70/611 2/3
11 5/6
72/612
12 1/6
74/612 1/3
75/6
76/612 2/3

FAQ

How to write 47/6 as a Mixed Number?

Fraction 47/6 as a mixed number it is 7 5/6