Fraction Calculator
Add, subtract, multiply and divide fractions, with simplification and mixed numbers. Get step-by-step answers in simplest form.
Supports 3/4, 1 1/2 or 0.75
Supports 3/4, 1 1/2 or 0.75
Simplified result
1 1/4
Mixed number
1 1/4
Decimal
1.25
Improper fraction
5/4
Results are shown in simplest form. Accepts fractions like 3/4, mixed numbers like 1 1/2, and decimals like 0.75.
How it works
a/b ± c/d = (ad ± cb)/bd, then simplify by the GCD. Multiplication: (a×c)/(b×d).
Example: 1/2 + 1/4 = 3/4 = 0.75.
Last updated: September 2026
How this calculator is verified
Checked by True Calculator automated test suite on
- Formula verified against a published worked example in the automated test suite
- Edge cases (zero, negative, boundary and unit-mismatch inputs) covered by unit tests
The full verification method is on our how we verify page. Found an error? Tell us and we will re-check it.
When to Use This Calculator
A tailor in Surat cuts a 3/4 metre piece of cloth and then another 1/6 metre piece. To find the total, enter 3/4 plus 1/6. The calculator converts both to twelfths: 9/12 plus 2/12 equals 11/12, so the tailor has 11/12 of a metre in all. The answer is already in simplest form because 11 and 12 share no common factor. Changing the second entry to 2/5 instead gives 3/4 minus 2/5, which converts to 15/20 minus 8/20, or 7/20.
How to Use This Calculator
- Step 1: Enter the first fraction using the two boxes for numerator and denominator.
- Step 2: Select the operation to perform: add, subtract, multiply or divide.
- Step 3: Enter the second fraction, or switch to the mixed-number input if a value has a whole part.
- Step 4: Read the simplified answer, which the calculator returns in lowest terms.
Worked Example
A tailor in Surat cuts a 3/4 metre piece of cloth and then another 1/6 metre piece. To find the total, enter 3/4 plus 1/6. The calculator converts both to twelfths: 9/12 plus 2/12 equals 11/12, so the tailor has 11/12 of a metre in all. The answer is already in simplest form because 11 and 12 share no common factor. Changing the second entry to 2/5 instead gives 3/4 minus 2/5, which converts to 15/20 minus 8/20, or 7/20.
Tips and Common Mistakes
- •Tip 1: To divide by a fraction, flip the second fraction and multiply; this is exactly what the divide option does internally.
- •Tip 2: Enter both fractions before reading the result, since the calculator needs both numerators and both denominators to compute anything.
- •Tip 3: For a value with a whole part, such as one and a half, use the mixed-number input rather than typing 3/2 unless you want an improper fraction.
- ✗Mistake 1: Cancelling a numerator of one fraction with the denominator of the other during addition or subtraction; cancellation is only valid after multiplying across.
- ✗Mistake 2: Pre-converting fractions by hand and entering the converted values again, since the calculator already finds the common denominator itself.
Frequently Asked Questions
How do I add fractions?
Multiply the denominators to get a common denominator, adjust the numerators, add them, then simplify. For example 1/2 + 1/4 = 3/4.
What is a mixed number?
A mixed number combines a whole number with a fraction, like 1 1/2. It is the same value as an improper fraction (3/2).
How do I convert a decimal to a fraction?
Write the decimal over 10, 100 or 1000 (depending on decimal places), then simplify. For example 0.75 = 75/100 = 3/4.
How do I divide fractions?
Flip the second fraction (take the reciprocal) and multiply. 3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 1 1/2.
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