About

Fractions and decimals are two languages for the same mathematical concept, yet translating between them often causes confusion. This tool provides precise conversion from rational numbers like 34 to decimal format 0.75. Beyond simple conversion, it generates a "Show Work" panel, revealing the long division steps required to reach the solution. This is essential for students validating their manual calculations or tradespeople needing decimal precision for CNC or digital layout tools.

Formulas

To convert a fraction to a decimal, you perform division of the numerator by the denominator:

ab ≡ a ÷ b

If the remainder is zero, it is a terminating decimal. If the remainder repeats, it is a recurring decimal.

Reference Data

Fraction	Decimal	Percentage
12	0.5	50%
13	0.333...	33.33%
14	0.25	25%
18	0.125	12.5%
116	0.0625	6.25%

Frequently Asked Questions

Convert the mixed number to an improper fraction first. For example, 1 1/2 becomes 3/2, which is 1.5.

If the prime factors of the denominator include numbers other than 2 or 5, the decimal expansion will not terminate (e.g., 1/3, 1/7).