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Decimal to Ratio Calculator - Convert Decimals to Simplified Ratios Easily

Decimal to Ratio Calculator

Convert decimals into simplified ratios quickly and effortlessly with this easy-to-use tool.

How to Use Decimal to Ratio Calculator?

  • Enter a decimal value in the input field.
  • Click the "Convert to Ratio" button to see the simplified ratio.
  • Use the "Clear" button to reset the input and output fields.

What is a Decimal to Ratio Calculator?

A Decimal to Ratio Calculator converts decimal numbers into their simplest ratio form, making comparisons and proportional relationships easier to understand.

How Does Decimal to Ratio Calculator Work?

The calculator multiplies the decimal by a power of ten to eliminate the fractional part, then simplifies the resulting fraction into a ratio by dividing both terms by their greatest common divisor (GCD).

How to Convert a Decimal to Ratio Form?

  • Eliminate the decimal by multiplying by powers of ten.
  • Simplify the resulting fraction to its smallest whole numbers.
  • Express the fraction as a ratio (e.g., 3:4).

Examples on Decimal to Ratio Calculator

  • Example 1: 0.5 → 0.5/1 → Multiply by 10 → 5/10 → Simplified to 1:2.
  • Example 2: 2.25 → 2.25/1 → Multiply by 100 → 225/100 → Simplified to 9:4.
  • Example 3: 0.3333 → 0.3333/1 → Multiply by 10000 → 3333/10000 → Simplified to 1:3.

What is Decimal to Ratio Formula?

Formula: Ratio = Decimal × Power of 10 (to remove decimal places), then simplify using the GCD.

Benefits of Decimal to Ratio Calculator

  • Quickly converts decimals into ratios.
  • Handles repeating decimals and large numbers.
  • Accurate and easy to use for comparisons.
  • Enhances understanding of proportional relationships.

Frequently Asked Questions

What is a decimal?
What is a ratio?
How accurate is the calculator?
Can the calculator handle negative decimals?
What happens if I enter an invalid decimal?