Mixed numbers such as 2 3/4 are common in cooking, carpentry and measurements. Working with them is easiest after converting to improper fractions, then converting the answer back.
How to use the Mixed Number Calculator
- I want to
- 1st: whole number
- 1st: numerator
- 1st: denominator
- 2nd: whole number
- 2nd: numerator
- 2nd: denominator
- Decimal
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How it works
Each mixed number is turned into an improper fraction, the operation is applied and the result is simplified and written as a mixed number and a decimal.
Formula
W n/d = (W·d + n)/d, then operate on improper fractions
Worked example
Inputs: I want to: Add; 1st: whole number: 1; 1st: numerator: 1; 1st: denominator: 2; 2nd: whole number: 2; 2nd: numerator: 2; 2nd: denominator: 3.
Results: Result = 25/6; Mixed number = 4 1/6; Decimal = 4.16666666667; Steps = 1. Convert to improper fractions: 1 1/2 = 3/2, 2 2/3 = 8/3
2. Least common denominator: LCD(2, 3) = 6
3. Rewrite: 3/2 = 9/6, 8/3 = 16/6
4. Add the numerators: 9 + (16) = 25, giving 25/6
5. Simplify: 25/6 = 4 1/6.
Key terms
- Mixed number
- A whole number and a proper fraction together.
Frequently asked questions
What is 1 1/2 + 2 2/3?
3/2 + 8/3 = 25/6 = 4 1/6.
How do I multiply mixed numbers?
Convert to improper fractions and multiply straight across.
How do I write 3.375 as a mixed number?
3 3/8.
Can the whole number be negative?
Yes: −1 1/2 means −(1 + 1/2) = −3/2.