Which shows the correct way to use the rule “multiply by the reciprocal” for the expression below?

5 divided by 5/1 2 Over 9/2
5 Over 1 EndFraction times StartFraction 9 Over 2 EndFraction = StartFraction 45 Over 2 EndFraction
StartFraction 5 Over 1 EndFraction times StartFraction 2 Over 9 EndFraction = StartFraction 10 Over 9 EndFraction
StartFraction 1 Over 5 EndFraction times StartFraction 9 Over 2 EndFraction = StartFraction 9 Over 10 EndFraction
StartFraction 1 Over 5 EndFraction times StartFraction 2 Over 9 EndFraction = StartFraction 2 Over 45 EndFraction

The correct way to use the rule "multiply by the reciprocal" for the expression "5 divided by 5/1 2 Over 9/2" is:

StartFraction 5 Over 1 EndFraction times StartFraction 2 Over 9 EndFraction = StartFraction 10 Over 9 EndFraction

To use the rule "multiply by the reciprocal," you need to multiply the first fraction by the reciprocal of the second fraction. In this case, the expression is:

5 divided by 5/1

To find the reciprocal of a fraction, you flip it upside down. So the reciprocal of 5/1 is 1/5.

Now, you can multiply the first fraction by the reciprocal:

(5/1) * (1/5) = 5/5

Simplifying this further, since 5/5 is equal to 1, the correct way to use the rule "multiply by the reciprocal" for the given expression is:

StartFraction 5 Over 1 EndFraction times StartFraction 1 Over 5 EndFraction = StartFraction 1 Over 1 EndFraction

why not repost, using real fractions, such as 5/2 or 2/3 instead of all those god-awful words?