20/13 to a mixed number

Fraction to Mixed Number Converter

Improper Fraction to Convert

How to write 20/13 as a Mixed Number?

Answer

The fraction 20/13 as a mixed number is
1 7/13

Since we have an improper fraction (the numerator [20] is greater than the denominator [13]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

20
13
=1
7
13

Steps to convert 20/13 to a mixed number

In order to convert our improper fraction 20/13 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 [13] goes into the numerator [20]. To do this we divide the numerator by the denominator:

20 ÷ 13 = 1.54 = 1

(Quotient of 1 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 [1] and multiplying it by the original denominator [13]. And then subtract the result from the original numerator [20]:

20 - (1 × 13)

=

20 - 13 = 7

3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [7] and put it above the original denominator [13], and then put the whole number [1] before it

20
13
=1
7
13

That's it! We have successfully converted the improper fraction 20/13 to the mixed number 1 7/13.

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 20/13 as a Mixed Number? (The answer is: 1 7/13). Enter the fraction (numerator and denominator) (e.g. '20/13') 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 20/13 as a Mixed Number?

The fraction 20/13 as a mixed number is 1 7/13

How is 20/13 split into a whole part and a fraction?

Divide the numerator (20) by the denominator (13): the quotient 1 is the whole part and the remainder 7 is the numerator of the fractional part, over the same denominator. Reduced to lowest terms that gives 1 7/13.

How can you check that 20/13 equals 1 7/13?

Multiply the whole part by the denominator and add the remainder back: 1 × 13 = 13, and 13 + 7 = 20 — exactly the numerator you started with.