Question 1

Simplify................................................

$\displaystyle{5 (1)/(6) + 2 (1)/(3) - 5 (11)/(12) }$

Question 2

$\quad\hookrightarrow\quad \sf {(19)/(12)\: or \: 1(7)/(12) }$

We will solve the given mixed fraction in 2 steps :

$\implies\quad \tt {5(1)/(6)+2(1)/(3)-5(11)/(12) }$

$\implies\quad \tt { ((6* 5)+1)/(6)+((3* 2)+1)/(3)-((12* 5)+11)/(12)}$

$\implies\quad \tt { (30+1)/(6)+(6+1)/(3)-(60+11)/(12)}$

$\implies\quad \tt { (31)/(6)+(7)/(3)-(71)/(12)}$

$\implies\quad \tt { ((2*31)+(4* 7)-(1* 71))/(12) }$

$\implies\quad \tt { (62+28-71)/(12)}$

$\implies\quad \tt { (90-71)/(12)}$

$\implies\quad \tt {(19)/(12) }$

$\implies\quad\underline{\underline {\pmb{\tt {1(7)/(12) }}}}$

Question 3

Answer:

see below:-

Explanation:

Given,

$\displaystyle{5 (1)/(6) + 2 (1)/(3) - 5 (11)/(12) }$

$\displaystyle{ (31)/(6) + (7)/(3) \ - (71)/(12) }$

$\therefore{\displaystyle{ (31)/(6) + (7)/(3) - (71)/(12) = (31 * 2 + 7 * 4 - 71 * 1)/(12) }}$

$= \displaystyle{ (62 + 28 - 71)/(12) }$

$\displaystyle{ = (90 - 71)/(12) }$

$\displaystyle{ = (19)/(12) }$

$\displaystyle{1 (7)/(12) }$

Your comment on this question:

Your answer