Question

Question #57f90

Answer 1

`(1color(white)(l)"m")/(1.0936color(white)(l)"yd")` and `(1color(white)(l)"yd")/(0.9144color(white)(l)"m")`

Explanation:

Let's derive them:

Wishing dimensional analysis, we can convert (1) from meters to yards and (2) from yards to meters:

`1cancel("m")((100cancel("cm"))/(1cancel("m")))((1cancel("in"))/(2.54cancel("cm")))((1color(white)(l)"yd")/(36cancel("in"))) = color(red)(1.0936` `color(red)("yd"`

So the first conversion factor is

`(1color(white)(l)"m")/(1.0936color(white)(l)"yd")`

Another conversion factor can be derived by taking the inverse of the number we just found:

`1/1.0936 = 0.9144`

So we also have (the reverse conversion factor):

`(1color(white)(l)"yd")/(0.9144color(white)(l)"m")`