Given:
[tex]-\dfrac{33}{16}[/tex] should be divided by a number to get [tex]-\dfrac{11}{4}[/tex].
To find:
The unknown number.
Solution:
Let [tex]-\dfrac{33}{16}[/tex] should be divided by x to get [tex]-\dfrac{11}{4}[/tex].
[tex]\dfrac{-\dfrac{33}{16}}{x}=-\dfrac{11}{4}[/tex]
[tex]-\dfrac{33}{16}=-\dfrac{11}{4}x[/tex]
Multiply both sides by 16.
[tex]-33=-44x[/tex]
Divide both sides by -44.
[tex]\dfrac{-33}{-44}=x[/tex]
[tex]\dfrac{3}{4}=x[/tex]
Therefore, the unknown number is [tex]\dfrac{3}{4}[/tex].
