Given:
The quotient of [tex]\dfrac{8}{13}[/tex] and 2 is subtracted from the product of [tex]\dfrac{7}{4}[/tex] and [tex]\dfrac{8}{21}[/tex].
To find:
The difference.
Solution:
The quotient of [tex]\dfrac{8}{13}[/tex] and 2 is subtracted from the product of [tex]\dfrac{7}{4}[/tex] and [tex]\dfrac{8}{21}[/tex].
[tex]\dfrac{7}{4}\times \dfrac{8}{21}-\dfrac{\dfrac{8}{13}}{2}[/tex]
[tex]=\dfrac{1}{1}\times \dfrac{2}{3}-\dfrac{8}{13\times 2}[/tex]
[tex]=\dfrac{2}{3}-\dfrac{4}{13}[/tex]
[tex]=\dfrac{26-12}{39}[/tex]
[tex]=\dfrac{14}{39}[/tex]
Therefore, the difference is [tex]\dfrac{14}{39}[/tex].
