Final answer:
The statement is True. A numerator and denominator division calculator can indeed simplify fractions by dividing both by their greatest common divisor, resulting in a fraction in its simplest form.
Step-by-step explanation:
True or False: A numerator and denominator division calculator can simplify fractions. The statement is True. A calculator that performs divisions on numerators and denominators can simplify fractions by dividing both by their greatest common divisor (GCD). Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator no longer share any common factors other than 1.
When simplifying fractions, not only can common factors be divided out, but units of measurement can also be canceled if presented in fraction multiplication or division problems. This ensures that the result has the correct units of measurement. For example, if you have a fraction with meters in the numerator and meters in the denominator, these units will cancel out, leaving you with a unitless number.
Remember also that when adding or subtracting fractions, they must have a common denominator; you only add or subtract the numerators while preserving the common denominator. When you multiply or divide fractions, you simply multiply the numerators together and the denominators together. If there are common factors, you can simplify the resulting fraction further. Moreover, if a fraction has the same number in the numerator and denominator, it simplifies to 1.
In summary, a numerator and denominator division calculator is a handy tool for simplifying fractions, ensuring that the math is accurate and the units of measurement are consistent with the desired outcome.