Mixed Number Calculator

Mastering Mixed Numbers: Complete Guide

A mixed number (or mixed fraction) combines a whole number with a proper fraction, such as 2¾. Mixed numbers are commonly used in everyday measurements—cooking, construction, and crafting—because they clearly express quantities greater than one while retaining fractional precision. This Professional Mixed Number Calculator performs addition, subtraction, multiplication, and division with mixed numbers, providing results as mixed numbers, improper fractions, and decimals, along with detailed step‑by‑step explanations.

Converting Mixed Numbers to Improper Fractions

The first step in any mixed number arithmetic is conversion to an improper fraction. Multiply the whole number by the denominator, add the numerator, and keep the same denominator. For example, 2¾ becomes (2 × 4 + 3)/4 = 11/4. This representation makes arithmetic operations straightforward.

Adding and Subtracting Mixed Numbers

After converting to improper fractions, find the least common denominator (LCD) of the two fractions, adjust the numerators, then add or subtract. Finally, simplify the result and convert back to a mixed number if the numerator is larger than the denominator.

Multiplying and Dividing Mixed Numbers

Multiplication: convert to improper fractions, multiply numerators and denominators, then simplify. Division: convert, then multiply by the reciprocal of the second fraction. The calculator displays every intermediate step so you can follow the logic.

Simplifying and Converting Back

All results are automatically reduced to lowest terms using the greatest common factor (GCF). If the numerator is greater than the denominator, the calculator extracts the whole number part and presents the result as a mixed number. The decimal equivalent is also shown for convenience.