20/12 to a mixed number

Fraction to Mixed Number Converter
Improper Fraction to Convert

How to write 20/12 as a Mixed Number?

Answer

The fraction 20/12 as a mixed number is
1 2/3

Since we have an improper fraction (the numerator [20] is greater than the denominator [12]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

20
12
=1
2
3

Steps to convert 20/12 to a mixed number

In order to convert our improper fraction 20/12 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 [12] goes into the numerator [20]. To do this we divide the numerator by the denominator:

20 ÷ 12 ≈ 1.67

20 = 1 × 12 + 8

(Quotient of 1 and a remainder of 8)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [8].

You may also calculate a remainder by using the whole number we calculated in the first step [1] and multiplying it by the original denominator [12]. And then subtract the result from the original numerator [20]:

20 - (1 × 12)

=

20 - 12 = 8

3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [8] and put it above the original denominator [12], and then put the whole number [1] before it

20
12
=1
8
12

Simplify the fractional part. The fractional part [8/12] can still be reduced. Divide both its numerator and denominator by their greatest common factor [4]:

1
8
12
=1
2
3

That's it! We have successfully converted the improper fraction 20/12 to the mixed number 1 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 20/12 as a Mixed Number? (The answer is: 1 2/3). Enter the fraction (numerator and denominator) (e.g. '20/12') 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 20/12 as a Mixed Number?

The fraction 20/12 as a mixed number is 1 2/3

How is 20/12 split into a whole part and a fraction?

Divide the numerator (20) by the denominator (12): the quotient 1 is the whole part and the remainder 8 is the numerator of the fractional part, over the same denominator. Reduced to lowest terms that gives 1 2/3.

How can you check that 20/12 equals 1 2/3?

Multiply the whole part by the denominator and add the remainder back: 1 × 12 = 12, and 12 + 8 = 20 — exactly the numerator you started with.