If you divide 30 by 40, what is the scale factor compared to dividing 60?

To determine the scale factor when dividing 30 by 40 compared to dividing 60 by 40, you first perform the division for both scenarios.

When dividing 30 by 40, the result is 0.75 (30 ÷ 40 = 0.75). Next, when dividing 60 by 40, the result is 1.5 (60 ÷ 40 = 1.5).

To find the scale factor between these two results, you take the result of the second division (1.5) and divide it by the result of the first division (0.75):

1.5 ÷ 0.75 = 2.

This indicates that the result of dividing 60 by 40 is two times the result of dividing 30 by 40. This is why the scale factor in this instance is 2.

Understanding this calculation highlights how division results can be scaled in relation to one another, which is essential for comparing ratios and proportions in various mathematical contexts.