Question

Simplify:-
$a)7 - 3 \frac{1}{2} - 2 \frac{1}{3}$
$b)3 + 1 \frac{2}{3} - \frac{2}{3}$
​

Answer 1

Answer (a)

$\bf \: a)7 - 3 \frac{1}{2} - 2 \frac{1}{3}$

$\rm :\implies\:7 - \dfrac{7}{2} - \dfrac{7}{3}$

$\rm :\implies\:\dfrac{42 - 21 - 14}{6}$

$\rm :\implies\:\dfrac{42 - 35}{6}$

$\bf\implies \:\dfrac{7}{6}$

So,

$\bf\implies \:\boxed{ \pink{ \bf \: a)7 - 3 \frac{1}{2} - 2 \frac{1}{3} = \dfrac{7}{6} }}$

Answer (b)

$\bf \: b)3 + 1 \frac{2}{3} - \frac{2}{3}$

$\rm :\implies\:3 + \dfrac{5}{3} - \dfrac{2}{3}$

$\rm :\implies\:\dfrac{9 + 5 - 2}{3}$

$\rm :\implies\:\dfrac{12}{3}$

$\bf\implies \:4$

So,

$\bf\implies \: \boxed{ \purple{ \bf \: b) \: 3 + 1 \frac{2}{3} - \frac{2}{3} \: = \: 4}}$