Answer:
Step-by-step explanation:
57) Order of operation: First what is inside the parenthesis - so division and then subtraction
For fraction division use KCF method
Keep the first fraction
Change division to multiplication
Flip the second fraction
[tex](\frac{5}{8}[/tex] ÷ [tex]\frac{1}{4})[/tex] - ([tex]\frac{4}{5}[/tex] ÷ [tex]\frac{1}{2})[/tex] = [tex](\frac{5}{8}*\frac{4}{1})-(\frac{4}{5}*\frac{2}{1})[/tex]
[tex]= (\frac{5}{2})-(\frac{8}{5})[/tex]
[tex]= \frac{5*5}{2*5} -\frac{8*2}{5*2}\\\\=\frac{25}{10}-\frac{16}{10}\\\\= \frac{9}{10}\\[/tex]
59)
[tex]\frac{3}{4} +\frac{1}{3} = \frac{3*3}{4*3}+\frac{1*4}{3*4}\\[/tex]
[tex]=\frac{9}{12}+\frac{4}{12}\\\\= \frac{9+4}{12}\\\\= \frac{13}{12}[/tex]
[tex](\frac{3}{4}+\frac{1}{3})-\frac{9}{15}=\frac{13}{12}-\frac{3}{5}\\[/tex]
[tex]= \frac{13*5}{12*5}-\frac{3*12}{5*12}\\\\= \frac{65}{60}-\frac{48}{60}\\\\= \frac{65-48}{60}\\\\= \frac{17}{60}[/tex]
