Answer:
[tex]\dfrac{-517}{504}=-1.0258[/tex]
Step-by-step explanation:
We are given an algebraic expression in two variables m and n as:
[tex]\dfrac{1}{3m}-1-\dfrac{1}{2n}[/tex]
Now we are asked to evaluate this algebraic expression at :
m=21 and n=12
Hence, putting the values of m and n in algebraic expression we get:
[tex]\dfrac{1}{3\times 21}-1-\dfrac{1}{2\times 12}\\\\\\=\dfrac{1}{63}-1-\dfrac{1}{24}\\\\=\dfrac{-517}{504}\\\\=-1.0258[/tex]
Hence, the value of the expression is:
[tex]\dfrac{-517}{504}=-1.0258[/tex]
We have that the expression is
-1.02579365
From the Question we are told that
[tex]\frac{ 1}{3m} -1-\frac{1}{2n}[/tex]
m =21
n=12
Therefore the expression gives
[tex]\frac{ 1}{3(21)} -1-\frac{1}{2(12)}[/tex]
-1.02579365
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