Mixed Number Calculator — Add, Subtract, Multiply, Divide
Perform any arithmetic operation on two mixed numbers. Enter each mixed number as a whole part plus a proper fraction, choose the operation, and get the fully simplified result as both a mixed number and an improper fraction — with every step shown.
Operation
3 11/12 (47/12)
- 1
Convert first to improper fraction
1 × 3 + 2 = 5/3 - 2
Convert second to improper fraction
2 × 4 + 1 = 9/4 - 3
Add over common denominator
20 + 27 over 12 = 47/12 - 4
Result as decimal
47 ÷ 12 = 3.916667
How does this calculator work?
Convert both mixed numbers to improper fractions, apply the chosen operation (+, −, ×, ÷ — for division multiply by the reciprocal), simplify using GCD, and convert back. For 1 2/3 + 2 1/4: 5/3 + 9/4 = 47/12 = 3 11/12. Full working shown.
Formula
How this is calculated
Arithmetic with mixed numbers is easiest when you first convert each one to an improper fraction: multiply the whole number by the denominator and add the numerator to get the new numerator, keeping the same denominator. For 1 2/3: (1 × 3 + 2)/3 = 5/3.
For addition and subtraction, find the lowest common denominator (LCD) of the two fractions using the LCM of their denominators, rescale both numerators, then add or subtract. For multiplication, multiply numerator by numerator and denominator by denominator. For division, multiply by the reciprocal of the second fraction (flip it and multiply).
The resulting improper fraction is then simplified by dividing numerator and denominator by their greatest common divisor (GCD), and finally converted back to a mixed number. All steps are displayed so you can follow along or check your homework.
Frequently asked questions
Convert both to improper fractions, find the lowest common denominator (LCD), adjust the numerators, add them, simplify using GCD, and convert back to a mixed number. For 1 2/3 + 2 1/4: 5/3 + 9/4 = 20/12 + 27/12 = 47/12 = 3 11/12.
Convert both to improper fractions then multiply numerator × numerator over denominator × denominator. Simplify the result. For 1 1/2 × 2 1/3: 3/2 × 7/3 = 21/6 = 7/2 = 3 1/2.
Mixed numbers are awkward to operate on directly because the whole and fractional parts need separate handling. Converting to improper fractions turns the mixed number into a single fraction so standard fraction arithmetic applies cleanly.
Also known as
TG we-Calculate Editorial Team. (2026). Mixed Number Calculator — Add, Subtract, Multiply, Divide [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/mixed-number-calculator
TG we-Calculate Editorial Team. "Mixed Number Calculator — Add, Subtract, Multiply, Divide." TG we-Calculate. 2026. https://we-calculate.com/calculator/mixed-number-calculator.
TG we-Calculate Editorial Team, "Mixed Number Calculator — Add, Subtract, Multiply, Divide," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/mixed-number-calculator
@misc{wecalculate_mixed_number_calculator, title = {Mixed Number Calculator — Add, Subtract, Multiply, Divide}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/mixed-number-calculator}}, year = {2026}, note = {TG we-Calculate} }
Did this calculator help you?