How do you simplify the expression #(12g)/25 * 5/(2g)#?

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Answer 1 · 2018-03-06T13:20:29

#color(magenta)(=6/5#

#(12g)/25xx5/(2g)#

[Reduce the like terms to their lowest forms]

#color(magenta)(=6/5#

~Hope this helps! :)

Answer 2 · 2018-03-06T13:31:17

#6/5 ->1 1/5#

Demonstration of the principle I am about to use.

Consider the example: #2xx4 = 4xx2 = 8#

You can swap things round in multiplication.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Given: #(12g)/25xx5/(2g)#

This is the same as: #g/gxx color(white)("d")12/2 color(white)("d.")xx color(white)("d.")5/25#

# color(white)("dddddddd")-> color(white)("dddd")1xx(cancel(2)xx6)/cancel(2)xxcancel(5)/(cancel(5)xx5) =6/5#