10/3 as a Mixed Number

10/3 as a mixed number is 3 1/3.

How to convert 10/3 to a mixed number

  1. Divide the numerator by the denominator: 10 ÷ 3 = 3 with a remainder of 1.
  2. The quotient 3 is the whole number.
  3. The remainder 1 becomes the new numerator, and the denominator stays 3: 3 1/3.
  4. 1/3 is already in lowest terms, so the answer is 3 1/3.

Check: convert 3 1/3 back to an improper fraction

Multiply the whole number by the denominator and add the numerator: 3 × 3 + 1 = 10, so 3 1/3 = 10/3.

As a decimal, 10/3 = 3.333333....

Similar improper fractions

Improper fractionMixed number
4/31 1/3
5/31 2/3
7/32 1/3
8/32 2/3
11/33 2/3
13/34 1/3
14/34 2/3
16/35 1/3

See also: GCF and LCM of 3 and 10.

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