A ratio compares two quantities and is typically written as a:b or a to b, while a decimal represents a part of a whole using base-10 notation. Every ratio a:b can be converted to a decimal by dividing a by b, and every rational decimal can be expressed as a ratio.

To convert a decimal to a ratio: 1) Multiply the decimal by powers of 10 until you get a whole number, 2) Use this as the numerator, 3) Use the power of 10 as the denominator, 4) Simplify by dividing both numbers by their GCD. For example, 0.75 becomes 75/100, which simplifies to 3/4 or 3:4.

No, only rational numbers (terminating or repeating decimals) can be expressed as exact ratios. Irrational numbers like π or √2 cannot be expressed as exact ratios because they have non-repeating, non-terminating decimal expansions. Our calculator handles all rational decimals accurately.

The calculator provides mathematically precise results based on your specified decimal precision (up to 10 decimal places). It uses the Euclidean algorithm to find GCD for exact simplification and is trusted by students, teachers, and professionals worldwide for accurate decimal-ratio conversions.

The GCD is the largest number that divides two numbers without leaving a remainder. Our calculator automatically finds the GCD using the Euclidean algorithm to simplify ratios to their lowest terms. For example, the GCD of 75 and 100 is 25, simplifying 75:100 to 3:4.