How do you express a decimal as a fraction?

To express a decimal as a fraction, the method of writing the decimal as a fraction with a denominator of 1 followed by zeros is appropriate because it aligns the decimal with the fractional notation. For example, if you have the decimal 0.75, you can express it as 75/100 by recognizing that 0.75 represents seventy-five hundredths. This method captures the value of the decimal and positions it accurately within a fractional format.

Further, when you write a decimal with a denominator of 1 followed by a certain number of zeros, you're essentially scaling the decimal appropriately. For instance, to convert 0.3, you can express it as 3/10—here the 1 is followed by one zero, indicating that the decimal is in the tenths place. This technique allows for a clear transition from decimal to fraction without losing the value represented by the decimal.

This method is preferable over other approaches. Rounding the decimal to the nearest whole number does not maintain the true value and potentially alters the quantity significantly. Converting a decimal to a percentage changes the way we interpret its value and does not directly provide a fractional representation. Similarly, expressing it as a sum of fractions complicates the straightforward process of conversion while not