To convert a decimal to a fraction means to write the decimal number as a fraction with a numerator and a denominator. Both forms show the same value, just in different ways.
Decimals and fractions both represent parts of a whole. They are two ways to show the same quantity.
Follow these steps to change a decimal into a fraction by using place value and simplifying when possible.
The number of decimal places tells you the denominator. One decimal place means tenths, two means hundredths, and three means thousandths.
When a decimal has two or more digits after the decimal point, the fraction’s denominator will be 100 or 1000 depending on the number of decimal places.
Always simplify your fractions to lowest terms by dividing both the numerator and denominator by their greatest common factor.
Some decimals stop after a few digits (terminating), while others continue with a repeating pattern (repeating). Both can be written as fractions.
Repeating decimals use a line or dot above the repeating digit, such as 0.3 for 0.333… .
Decimals and fractions are used every day when measuring, shopping, or working with money. Knowing how to change between them helps in real-world situations.
Understanding both forms makes comparing and calculating with numbers easier in daily life.