Greater Than Or Less Than Calculator
Compare whole numbers, decimals, fractions, and percentages with greater than, less than, equal to, difference, ratio, and cross-multiplication checks.
Last Updated: May 2026
Relationship
Less than
Symbol
A < B
Difference
3
A / B
0.99244332...
Comparison Inputs
Enter whole numbers, decimals, fractions, or percentages. The calculator compares the exact values instead of rounding them first.
Comparison Result
| Item | Input | Exact value |
|---|---|---|
| A as exact value | 394 | 394 |
| B as exact value | 397 | 397 |
| A as decimal | 394 | 394 |
| B as decimal | 397 | 397 |
| Comparison | 394 < 397 | Less than |
Work Check
| Check | Calculation | Result |
|---|---|---|
| Cross multiplication | 394 compared with 397 | Right cross product is larger |
| A - B | 394 - 397 | -3 |
| |A - B| | Absolute difference | 3 |
| A / B | Ratio of A to B | 394/397 |
Comparison Symbols
| Symbol | Meaning | For these inputs |
|---|---|---|
| A > B | A is greater than B | Use when A is larger on the number line. |
| A < B | A is less than B | Use when A is smaller on the number line. |
| A = B | A is equal to B | Use when both values represent the same number. |
| A >= B | A is greater than or equal to B | False for these inputs |
| A <= B | A is less than or equal to B | True for these inputs |
Comparison Notice
This calculator is for educational comparison of numeric values. It compares exact rational forms for supported inputs, but it does not evaluate algebraic expressions or formulas.
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How to Use the Greater Than Or Less Than Calculator
Enter value A and value B. You can use integers, decimals, fractions, or percentages. Examples include 394, -12.5, 7/8, and 62.5%.
Review the relationship card, symbol result, absolute difference, and work table. For fractions, the calculator uses cross multiplication to compare exact values.
Step 1: Enter value A
This is the first value in the comparison.
Step 2: Enter value B
This is the second value in the comparison.
Step 3: Read the symbol
The calculator reports A > B, A < B, or A = B.
Step 4: Check the work
Use exact values, cross products, and differences to verify the comparison.
How This Greater Than Or Less Than Calculator Works
The calculator converts each supported input into an exact rational value. Whole numbers, terminating decimals, fractions, and percentages can all be represented this way.
To compare fractions without rounding, the calculator compares cross products. For a/b and c/d, it compares a times d with c times b.
The final symbol follows the number line: larger values are greater, smaller values are less, and identical values are equal.
Greater Than and Less Than Guide
Comparison Symbols
| Concept | Symbol | Use |
|---|---|---|
| Greater than | A > B | A is larger than B. |
| Less than | A < B | A is smaller than B. |
| Equal to | A = B | A and B represent the same value. |
| Greater than or equal | A >= B | A is larger than B or equal to B. |
| Less than or equal | A <= B | A is smaller than B or equal to B. |
| Fraction comparison | a/b ? c/d compares ad ? cb | Avoids decimal rounding when comparing fractions. |
Examples
| Values | Comparison | Notes |
|---|---|---|
| 394 and 397 | 394 < 397 | 394 is less than 397. |
| 7/8 and 0.86 | 7/8 > 0.86 | 7/8 equals 0.875. |
| -12.5 and -13 | -12.5 > -13 | The number closer to zero is greater. |
| 62.5% and 5/8 | 62.5% = 5/8 | Both equal 0.625. |
Comparison Context
Greater than and less than are order relationships. They tell you which of two values is farther to the right or left on the number line.
Fractions, decimals, and percentages may look different while representing the same value. For example, 5/8, 0.625, and 62.5% are equal.
Keep the research moving with Integer Calculator, Fraction Calculator, Percentage Calculator, and Mean Calculator.
Frequently Asked Questions
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Use Modulo CalculatorSources & References
- 1.Encyclopaedia Britannica - Inequality(Accessed May 2026)
- 2.Wolfram MathWorld - Inequality(Accessed May 2026)
- 3.Khan Academy - Comparison Symbols Review(Accessed May 2026)