27/4 to a mixed number

Fraction to Mixed Number Converter
Improper Fraction to Convert

How to write 27/4 as a Mixed Number?

Answer

The fraction 27/4 as a mixed number is
6 3/4

Since we have an improper fraction (the numerator [27] is greater than the denominator [4]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

27
4
=6
3
4

Steps to convert 27/4 to a mixed number

In order to convert our improper fraction 27/4 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 [4] goes into the numerator [27]. To do this we divide the numerator by the denominator:

27 ÷ 4 = 6.75 = 6

(Quotient of 6 and a remainder of 3)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [3].

You may also calculate a remainder by using the whole number we calculated in the first step [6] and multiplying it by the original denominator [4]. And then subtract the result from the original numerator [27]:

27 - (6 × 4)

=

27 - 24 = 3

3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [3] and put it above the original denominator [4], and then put the whole number [6] before it

27
4
=6
3
4

That's it! We have successfully converted the improper fraction 27/4 to the mixed number 6 3/4.

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 27/4 as a Mixed Number? (The answer is: 6 3/4). Enter the fraction (numerator and denominator) (e.g. '27/4') 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 Mixed Number Converter
Improper Fraction to Convert

FAQ

How to write 27/4 as a Mixed Number?

The fraction 27/4 as a mixed number is 6 3/4

How is 27/4 split into a whole part and a fraction?

Divide the numerator (27) by the denominator (4): the quotient 6 is the whole part and the remainder 3 is the numerator of the fractional part, over the same denominator. Reduced to lowest terms that gives 6 3/4.

How can you check that 27/4 equals 6 3/4?

Multiply the whole part by the denominator and add the remainder back: 6 × 4 = 24, and 24 + 3 = 27 — exactly the numerator you started with.