Final answer:
The given sentence can be written as the equation \(\frac{153}{m} = 218\), expressing that the division of 153 by m yields 218.
Step-by-step explanation:
To convert the sentence 'The quotient of 153 and m is the same as 218' into an equation, you need to identify the mathematical operation indicated by the word quotient. Quotient refers to the result of division. Thus, the sentence states that if you divide 153 by m, you will get 218. The corresponding equation is:
\(\frac{153}{m} = 218\)
When dealing with equations, it's crucial to remember that they are a way of expressing relationships between quantities in a precise manner. In this case, the relationship is one of proportion where 153 is proportionally the same to m as 1 is to approximately 0.7018348623853211 since dividing 153 by 218 gives you that value, which is the inverse of 218.