Compare ratios with clear steps. Simplify values, test proportions, and review cross products. Accurate outputs support homework, exams, and practice daily.
| First Ratio | Second Ratio | Decimal Values | Comparison |
|---|---|---|---|
| 2 : 3 | 4 : 6 | 0.6667 and 0.6667 | Equal ratios |
| 5 : 8 | 3 : 4 | 0.625 and 0.75 | Second ratio is greater |
| 7 : 5 | 9 : 8 | 1.4 and 1.125 | First ratio is greater |
| 10 : 15 | 2 : 3 | 0.6667 and 0.6667 | Equivalent after simplification |
A ratio compares two quantities by division. For ratios a:b and c:d, first convert them into decimal form. Compute a ÷ b and c ÷ d. If both decimal values match, the ratios are equivalent.
You can also test equivalence through cross multiplication. Multiply a × d and b × c. If the cross products are equal, the ratios are equal. This method is fast and reliable.
The calculator also simplifies each ratio. It reduces both terms by their greatest common divisor. Simplified ratios help you spot equivalence quickly and read results more clearly.
Enter the first term and second term of the first ratio. Then enter the two terms of the second ratio. Use only numeric values. Decimal values are accepted.
Press the compare button. The result appears above the form. You will see the original ratios, simplified ratios, decimal values, cross products, difference, and equivalence status.
Use the CSV button to export the current result table. Use the PDF button to open a printable report. This makes the tool helpful for homework, worksheets, and classroom checks.
Comparing ratios is a core math skill. It appears in arithmetic, algebra, geometry, and data work. Students use it to test proportional relationships. Teachers use it to explain scaling, rates, and fair comparisons. A clear ratio tool saves time and reduces simple mistakes.
This compare ratios calculator checks two ratios side by side. It converts each ratio into decimal form. It also simplifies each ratio into its lowest terms. Then it compares the values directly. Cross products are included for a second proof. This gives a stronger explanation.
You can use this tool for classroom practice, tutoring, homework, and quick revision. It works well when checking whether fractions, rates, or proportions match. It is also useful in business math, recipe scaling, map reading, and simple finance examples. Ratios appear in many everyday contexts.
Many learners understand ratios better when results appear in several forms. Decimal values show size quickly. Simplified ratios show structure clearly. Cross products show equivalence with a standard rule. Absolute and percent differences reveal how far two ratios are apart. These outputs make the comparison more informative.
The layout keeps the process simple. Enter four values, submit the form, and review the result above it. The table format is easy to scan. Export options help you save or share work. Because the page uses a clean white layout, the content stays readable and focused.
When ratios are compared correctly, decisions improve. You can judge value, scale, and balance with more confidence. This matters in math exercises and real tasks. A dependable comparison tool supports accuracy, speed, and stronger understanding of proportional reasoning in daily problem solving.
It compares two ratios by converting them into decimal values, simplifying them, and checking cross products. It then shows whether the ratios are equal, greater, or smaller.
Yes. The calculator accepts integers and decimal numbers. This helps when ratios come from measurements, rates, or calculated values instead of whole numbers.
If both decimal values match, the ratios are equivalent. The cross products will also be equal. The result table shows both checks for clarity.
A ratio value uses division. Division by zero is undefined. That is why the second term of each ratio must be a nonzero number.
Ratio simplification reduces both terms by their greatest common divisor. This gives the lowest whole-number form and makes equivalent ratios easier to identify.
Percent difference shows how far one ratio value is from the other in percentage terms. It is useful when the ratios are not equal and you want a clearer gap measure.
Yes. A proportion is an equation showing two equal ratios. This calculator helps confirm whether a proportion is true by using decimal comparison and cross multiplication.
The CSV button downloads the result data in spreadsheet format. The PDF button opens a print-friendly report that you can save as a PDF from your browser.