Final answer:
The question contains errors and is vague, but generally speaking, solving algebraic problems involves simplifying expressions by eliminating common factors and checking answers for reasonableness.
Step-by-step explanation:
It appears that there are several typographical errors in the question asked. However, to provide general guidance on solving algebraic problems and reducing terms to their lowest forms, a key strategy in solving algebraic equations is to perform operations that simplify the expression without changing its value. This often involves identifying common factors, simplifying ratios or fractions, and following the order of operations. For example, to reduce a ratio like 22:11:22 to lowest terms, you would recognize that each term has a common divisor of 11, yielding the simpler form 2:1:2.
Similarly, when dealing with exponents as in a term like 24×10¹2, you may manipulate the expression to simplify it, such as changing it to 2 × 10¹2-7 which simplifies further to 3 × 105. Always eliminate terms wherever possible to reduce the complexity of the equation, and then check your answer to ensure it is reasonable and accurate. If dealing with fractions, you can convert the ratio to whole numbers by finding the least common multiple or by dividing through by a common factor.