13/5 as a Mixed Number

13/5 as a mixed number is 2 3/5.

How to convert 13/5 to a mixed number

  1. Divide the numerator by the denominator: 13 ÷ 5 = 2 with a remainder of 3.
  2. The quotient 2 is the whole number.
  3. The remainder 3 becomes the new numerator, and the denominator stays 5: 2 3/5.
  4. 3/5 is already in lowest terms, so the answer is 2 3/5.

Check: convert 2 3/5 back to an improper fraction

Multiply the whole number by the denominator and add the numerator: 2 × 5 + 3 = 13, so 2 3/5 = 13/5.

As a decimal, 13/5 = 2.6.

Similar improper fractions

Improper fractionMixed number
8/51 3/5
9/51 4/5
11/52 1/5
12/52 2/5
14/52 4/5
16/53 1/5
17/53 2/5
18/53 3/5

See also: GCF and LCM of 5 and 13.

Another fraction? Use the fraction calculator or browse all improper fractions to mixed numbers.