Mixed Number Calculator
Add, subtract, multiply and divide mixed numbers with full step-by-step working. Shows the conversion to improper fractions as part of the working.
= 0.75 (decimal)
Step-by-step working
Find the lowest common denominator (LCD)
The lowest common denominator of 2 and 4 is 4. Both fractions will be converted to this denominator.
Convert the first fraction
Multiply numerator and denominator of the first fraction by 2.
Result:\frac{2}{4}Convert the second fraction
Multiply numerator and denominator of the second fraction by 1.
Result:\frac{1}{4}Add the numerators
Add the numerators together. The denominator stays the same: 2 + 1 = 3.
Result:\frac{3}{4}
Worked examples
1½ + 2¼
- 1Convert to improper: 3/2 + 9/4
- 2LCD(2,4): = 4
- 3Add: 6/4 + 9/4 = 15/4 = 3¾
2⅔ × 1½
- 1Convert: 8/3 × 3/2
- 2Multiply: 24/6
- 3Simplify: 4
Frequently asked questions
What is a mixed number?+
A mixed number has a whole number part and a fraction part, e.g. 2¾. It represents a value greater than 1.
How do you convert a mixed number to an improper fraction?+
Multiply the whole number by the denominator and add the numerator. This becomes the new numerator over the same denominator. E.g., 2¾ = (2×4+3)/4 = 11/4.
How do you add mixed numbers?+
Convert to improper fractions, find a common denominator, add the numerators, simplify, then convert back to a mixed number.
How do you convert an improper fraction to a mixed number?+
Divide the numerator by the denominator. The quotient is the whole number and the remainder is the new numerator. E.g., 11/4 = 2 remainder 3 = 2¾.