To express the number 30 as a fraction in its lowest terms, we first need to understand what it means to write a number as a fraction. A fraction consists of a numerator and a denominator. In this case, we can represent 30 as:
30/1This fraction is in its simplest form because the numerator is 30 and the denominator is 1, which cannot be simplified further. Whenever we have an integer like 30, we can always express it as a fraction by placing it over 1.
If we were to look for a fractional representation of 30 that has a different denominator while still keeping it in lowest terms, we could consider multiplying both the numerator and the denominator by the same non-zero integer. For example:
(30 × 2)/(1 × 2) = 60/2However, 60/2 is not in its lowest terms either; it simplifies back down to 30/1.
In conclusion, 30 as a fraction in its lowest terms is simply:
30/1This representation is both mathematically correct and is the simplest form of the fraction.