Question

HIW
of The value of 5-(2 ½ + ¾ ) + ( 3 ½ - 1 -¼)
Ans->​

Answer 1

Question

The value of 5-(2 ½ + ¾ ) + ( 3 ½ - 1 -¼) is

Answer

$\rm \: 5 - (2 \frac{1}{2} + \frac{3}{4}) + (3\frac{1}{2} - 1\frac{3}{4})$

$\mapsto \rm \: 5 - ( \frac{5}{2} + \frac{3}{4}) + (\frac{7}{2} - \frac{7}{4})$

$\mapsto \rm \: 5 - \frac{10 + 3}{4} + \frac{14 - 7}{4}$

$\mapsto \rm \: 5 - \frac{13}{4} + \frac{7}{4}$

$\mapsto \rm \: \frac{(20 - 13 + 7)}{4}$

$\mapsto \rm \: \frac{14}{4}$

$\mapsto \rm \: \frac{ \cancel{14}}{ \cancel{4}}$

$\mapsto \rm \: \frac{7}{2}$

$\boxed \mapsto \boxed{ \rm \: 3.5}$

Answer 2

Solution

$\leadsto\sf{5 - (2 \dfrac{1}{2} + \dfrac{3}{4}) + (3 \dfrac{1}{2} - 1 \dfrac{7}{4})}$

$\leadsto\sf{5 - ( \dfrac{5}{2} + \dfrac{3}{4}) + ( \dfrac{7}{2} - 1 \dfrac{7}{4})}$

${\leadsto{\sf{5 - \dfrac{10 + 3}{4}} + \dfrac{14- 7}{4}}}$

${\leadsto{\sf{5 - \dfrac{13}{4}} + \dfrac{7}{4}}}$

$\leadsto\sf{\dfrac{(20-13+7)}{4}}$

${\leadsto{\sf{ { {\cancel\dfrac{14}{4}}}}}}$

$\leadsto\sf{ \dfrac{7}{2}}$

${\leadsto{\sf{7 ÷ 2 = 3.5}}}$