Question

a) 7-(1/3-1/4)
b) 3/5-4/6-2
d) -3/2.(3/5-4/6)

Answer 1

$A) 7-( \frac{1}{3}- \frac{1}{4})$
 
$7-( \frac{1*4}{3*4}- \frac{1*4}{4*4})$

$7-( \frac{4}{12}- \frac{3}{12})$

$7-( \frac{4-3}{12})$

$\frac{7}{1}-\frac{1}{12}$

$\frac{7*12}{1*12} -\frac{1}{12}$

$\frac{84}{12} -\frac{1}{12}$

$\frac{83}{12}$


$B) \frac{3}{5} - \frac{4}{6} -2$

$\frac{3}{5} - \frac{2}{3} - \frac{2}{1}$

$\frac{3*3}{5*3} - \frac{2*5}{3*5} - \frac{2*15}{1*15}$

$\frac{9}{15} - \frac{10}{15} - \frac{30}{15}$

$\frac{9-10-30}{15}$

$- \frac{31}{15}$


$D) - \frac{3}{2} *( \frac{3}{5} - \frac{4}{6} )$

$- \frac{3}{2} *( \frac{3}{5} - \frac{2}{3} )$

$- \frac{3}{2} *( \frac{3*3}{5*3} - \frac{2*5}{3*5} )$

$- \frac{3}{2} *( \frac{9}{15} - \frac{10}{15} )$

$- \frac{3}{2} *( \frac{9-10}{15} )$

$- \frac{3}{2} *(- \frac{1}{15} )$

$\frac{-3*-1}{2*15}$

$\frac{3}{30}= \frac{1}{10}$