[tex]\Large\textsf{\textbf{Answer\;:}}}[/tex]
[tex]\large\textsf{refer\:to\:the\:"calculations"\:section\:of\:this\:ans}[/tex]
[tex]\Large\textsf{\textbf{Calculations\::}}[/tex]
[tex]-\displaystyle\frac{1}{2} :1\frac{3}{4}[/tex]
First , convert the mixed number (the fraction we are dividing by in the given maths problem) into an improper fraction .
Multiply the whole part (1) times the denominator (4) and add the numerator . The result is the numerator of our fraction , and the denominator stays the same .
So now our maths problem looks as follows :
[tex]-\displaystyle\frac{1}{2} :\frac{7}{4}[/tex]
Now turn the fraction you are dividing by over :
[tex]-\displaystyle\frac{1}{2} *\frac{4}{7}[/tex]
Now multiply the numerator of the first fraction times the numerator of the second fraction :
4
Perform the same operation with the denominators :
-4/14
So the result is :
[tex]-\displaystyle\frac{4}{14}[/tex]
Since the above fraction is not in it's simplest form , we divide the top and bottom by 2 (a common factor of both 4 and 14) :
[tex]-\displaystyle\frac{2}{7}[/tex]
[tex]\footnotesize\textsf{hope\:helpful~}[/tex]