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Mixed number calculator

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The calculator needs JavaScript. The tables below give the same numbers for common cases.

How it is worked out

  1. Multiply the whole number by the denominator: 2 × 4 = 8.
  2. Add the numerator: 8 + 3 = 11.
  3. Keep the denominator: 11/4.
Worked examples
InputsAnswer
Convert: Mixed number to improper fraction; Whole number: 2; Numerator: 3; Denominator: 42 3/4 = 11/4.
Convert: Improper fraction to mixed number; Whole number: 0; Numerator: 11; Denominator: 411/4 = 2 3/4.
Convert: Improper fraction to mixed number; Whole number: 0; Numerator: 47; Denominator: 647/6 = 7 5/6.
Convert: Mixed number to improper fraction; Whole number: 5; Numerator: 1; Denominator: 35 1/3 = 16/3.

How to use it

A mixed number such as 2 3/4 is a whole number plus a fraction. To make it an improper fraction, multiply the whole number by the denominator, add the numerator and keep the denominator: 2 × 4 + 3 = 11, so 2 3/4 = 11/4.

To go the other way, divide the numerator by the denominator: the quotient is the whole part and the remainder goes over the denominator. 11 ÷ 4 = 2 remainder 3, so 11/4 = 2 3/4.

Frequently asked questions

How do I convert 2 3/4 to an improper fraction?

2 × 4 + 3 = 11, so it is 11/4.

How do I convert 11/4 to a mixed number?

11 ÷ 4 = 2 remainder 3, so it is 2 3/4.

What is an improper fraction?

A fraction whose numerator is greater than or equal to its denominator, such as 11/4.

Method: standard arithmetic shown step by step; no outside data is used. Checked 2026-11-12.

Written by Calculators Free Editorial Team · Data checked 2026-11-12
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General information only. Results are plain arithmetic on the numbers you enter; check anything important (money, health, school work) against your own records or the official source.