[tex] \frac{ \frac{1}{2}+ \frac{5}{3} -1 }{ \frac{3}{4} } [/tex] ↓ Is the same as [tex] \frac{1}{2} + \frac{5}{3} -1[/tex] ÷ [tex] \frac{3}{4} [/tex]
Since it is a division by fraction, we can multiply by what is called the reciprocal ( The attached picture might help you ) ( [tex] \frac{1}{2} + \frac{5}{3} - 1[/tex] ) × [tex] \frac{4}{3} [/tex] ↓ For this part, we need the common denominator, which is 6 [tex] \frac{1(3)}{2(3)}+ \frac{5(2)}{32)} \frac{1(6)}{1(6)} [/tex] × [tex] \frac{4}{3} [/tex]