Sum with an LCM
- Input
- 1/2 + 1/3
- Expected output
- 5/6
LCM(2, 3) = 6: 3/6 + 2/6.
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numeric expressions with fractions
Type fractions as 3/4, without spaces, and mixed numbers as 2 1/3. Every sum with different denominators gets a step with the LCM before the calculation, every product comes out simplified, and the final result also appears as a decimal and as a mixed number.
LCM(2, 3) = 6: 3/6 + 2/6.
LCM(4, 6) = 12: 9/12 − 2/12.
6/12 divided by 6.
1/2 × 4/3 = 4/6.
The product gives 1/4; then 1/2 + 1/4.
5/2 + 5/4 = 10/4 + 5/4; or 3 3/4.
5/4 ÷ 3/2 = 5/6, and 5/6 × 6 = 5.
Groups first (parentheses, then brackets, then braces, always innermost outward). Inside each group: powers and roots; multiplications and divisions, left to right; additions and subtractions, left to right. Example: 2 + 3 × 4² = 2 + 3 × 16 = 2 + 48 = 50.
Because that is where most mistakes happen. Showing 1/2 + 1/3 turning into 3/6 + 2/6 makes clear why the sum is 5/6 and not 2/5, the mistake of adding numerators and denominators.
Yes. When a calculation produces a fraction that can still be reduced, the step carries a note with the gcd used (for example, 6/12 divided by 6). If you type just a fraction like 4/6, the tool reduces it to 2/3.
You can; everything is stored as an exact fraction. 50% + 1/4 is 3/4 and 0.25 + 1/2 is also 3/4. There is no rounding mid-calculation, only in how the decimal is shown.
Put the fraction in parentheses before the exponent. (2/3)² gives 4/9. Without parentheses, 2/3² is read as 2 divided by 3², which gives 2/9.
Accepts parentheses, brackets and braces, × ÷ + −, powers (2^3 or 2³), roots (√9, ∛27, sqrt(16)), percent, absolute value |x|, decimals and fractions. 1/2 without spaces is the fraction; 1 / 2 with spaces is a division.
The exercise appears in the field with the solution hidden. Results for levels 1 to 3 are always whole numbers.
All the math happens in your browser. No expression is sent to any server.