Mixed Number Calculator

Add, subtract, multiply and divide mixed numbers like 2 1/3, with every step shown.

First	2 1/3
Operation	+
Second	1 3/4

First

Operation

Second

Fractions (3/4), mixed numbers (2 1/3), whole numbers or decimals.

2 1/3 + 1 3/4 =

4 1/12

The answer is 49/12, or 4 1/12 as a mixed number, which is 4.08(3) as a decimal.

Exact fraction. Checked exactly.

Method: Lowest common denominator
Worked out with: AllCalcHub exact fractions (whole-number arithmetic, no rounding)
Check: Every step recomputed with exact fractions

Fraction: 49/12
Mixed number: 4 1/12
Decimal: 4.08(3)

The fractions as bars, over a common denominator

7/3 = 28/1228/12 = 2.3333
7/4 = 21/1221/12 = 1.75
Answer 49/1249/12 = 4.0833

On a number line

1
Turn mixed numbers into improper fractions
2 1/3 = 7/3, 1 3/4 = 7/4
2
Rewrite over the lowest common denominator
7/3 = 28/12, 7/4 = 21/12
3
Add the numerators
28 + 21 = 49, over 12
4
Simplify
49/12

About the Mixed Number Calculator

A mixed number combines a whole number and a fraction. To calculate with them, first turn each into an improper fraction (whole × denominator + numerator, over the denominator), work as with ordinary fractions, then turn the answer back into a mixed number.

The formula

a b/c = (a × c + b) / c

Worked example

2 1/3 + 1 3/4

= 7/3 + 7/4
= 28/12 + 21/12 = 49/12
= 4 1/12

Questions people ask

How do I enter a negative mixed number?

Put the minus sign first: -2 1/3 means −(2 + 1/3).

Why convert to improper fractions?

It avoids borrowing and carrying between the whole and fraction parts.