7/4 as a Mixed Number

7/4 as a mixed number is 1 3/4.

How to convert 7/4 to a mixed number

  1. Divide the numerator by the denominator: 7 ÷ 4 = 1 with a remainder of 3.
  2. The quotient 1 is the whole number.
  3. The remainder 3 becomes the new numerator, and the denominator stays 4: 1 3/4.
  4. 3/4 is already in lowest terms, so the answer is 1 3/4.

Check: convert 1 3/4 back to an improper fraction

Multiply the whole number by the denominator and add the numerator: 1 × 4 + 3 = 7, so 1 3/4 = 7/4.

As a decimal, 7/4 = 1.75.

Similar improper fractions

Improper fractionMixed number
5/41 1/4
6/41 1/2
9/42 1/4
10/42 1/2
11/42 3/4
13/43 1/4
14/43 1/2
15/43 3/4

See also: GCF and LCM of 4 and 7.

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