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suppose were told 1 widgets is equal to 3.1 dingbats, next, determine t…

Question

suppose were told 1 widgets is equal to 3.1 dingbats,
next, determine the conversion factor: 3.1 dingbats = 1 widgets

in order for dingbats to divide out when we multiply by the conversion factor, we need dingbats on the
select an answer of the conversion factor. that means we use the following conversion factor:
3.1 widgets / 1 dingbats, 1 dingbats / 3.1 widgets, 1 widgets / 3.1 dingbats, 3.1 dingbats / 1 widgets

Explanation:

Step1: Analyze unit - cancellation

When using conversion factors, we want the units we are converting from to cancel out. If we have a quantity in dingbats and we want to convert it to widgets, and we know that \(3.1\) dingbats \( = 1\) widget.
Let's say we have \(x\) dingbats. If we use the conversion factor \(\frac{1\ \text{widgets}}{3.1\ \text{dingbats}}\), when we multiply \(x\) dingbats by \(\frac{1\ \text{widgets}}{3.1\ \text{dingbats}}\), the dingbats unit cancels out (\(\text{dingbats}\times\frac{\text{widgets}}{\text{dingbats}}\)).

Answer:

\(\frac{1\ \text{widgets}}{3.1\ \text{dingbats}}\)