Decimal to fraction

Converting a decimal to a fraction means rewriting a number written with a decimal point as a ratio of two whole numbers. Every finite decimal is really a fraction in disguise, because each digit after the point stands for tenths, hundredths, thousandths, and so on. To turn it back, you place the digits over the matching power of ten and then reduce the result to its lowest terms by cancelling any common factor. The top number, the numerator, tells how many parts you have, while the bottom number, the denominator, tells how many equal parts the whole is divided into. A key property is that fractions capture certain values exactly, whereas rounded decimals can only approximate them. This matters most for repeating decimals such as a third, which no finite decimal can ever represent perfectly. Fractions are indispensable in schoolwork, cooking, engineering, and finance, where clean ratios are easier to compare and combine than long strings of digits. Being able to move between the two forms lets you choose whichever is clearer or more precise for the task at hand.