Question

Multistep Conversions: If the problem doesn't mention ___________ then it will take more than one fraction to solve. The first being to convert to __________, and second __________________________

A. Multistep Conversions: If the problem doesn't mention **units** then it will take more than one fraction to solve. The first being to convert to **intermediate units**, and second **to the desired units**.

B. Multistep Conversions: If the problem doesn't mention **temperature** then it will take more than one fraction to solve. The first being to convert to **Celsius**, and second **to Fahrenheit**.

C. Multistep Conversions: If the problem doesn't mention **currency** then it will take more than one fraction to solve. The first being to convert to **a common currency**, and second **to the target currency**.

D. Multistep Conversions: If the problem doesn't mention **time** then it will take more than one fraction to solve. The first being to convert to **hours**, and second **to minutes**.

Answer 1

Multistep conversions in mathematics involve more than one fraction when converting units that are not directly related. The process includes converting to base units and then to the desired units, utilizing clear conversion factors and ratios to ensure the accuracy of the final measurement.

Step-by-step explanation:

Multistep conversions in mathematics often require more than one fraction for solving problems that involve unit conversion. When a problem does not mention a specific unit, this indicates that a direct conversion factor is not readily available. This type of problem is solved by performing the conversion in two steps. The first step involves converting to an intermediate unit, which typically is the base unit without any prefixes. The second step requires converting from the intermediate unit to the desired units. This method helps to simplify the computation and ensures accuracy in the conversion process.

Consider a problem where you need to convert a specific measure, such as 54.7 kilometers, into millimeters. Since there isn't a direct conversion factor from kilometers to millimeters, breaking down the conversion into two steps is more practical. The first step involves converting kilometers to meters, which is the base unit in the metric system. Following that, the second step includes converting meters to millimeters. By using this two-step method, you utilize clear-cut conversion factors that simplify the computation process.

To execute conversions effectively, it's critical to understand the relationship between different units and use ratios and conversion factors appropriately. The approach to solving these problems typically involves the following steps:

1. Identify the 'given' unit that is presented in the problem.
2. Determine the unit that the problem is asking you to 'find'.
3. Apply conversion factors in the form of ratios to cancel out the unwanted units and leave the desired units intact.
4. Ensure the units cancel out correctly before performing the mathematical operations.
5. Substitute the known information with their units into the appropriate equation and solve in steps if necessary.

Understanding and applying unit conversions is a fundamental skill in problem-solving across various fields in science and engineering.

Answer 2

C. Multistep Conversions: If the problem doesn't mention currency then it will take more than one fraction to solve. The first being to convert to a common currency, and second to the target currency.