Question

simplify the following
i. 5/36 - 11/12 + 7/9
ii. 2/3 + 7/15 - (-1/21) + (-3/7)​

Answer 1

Answer:

Solution :-

$1)\longrightarrow\dfrac{5}{36} - \dfrac{11}{12} + \dfrac{7}{9}$

$\Rightarrow\dfrac{5 - 33 + 28}{36}$

$\Rightarrow\dfrac{5 - 5}{36}$

$\Rightarrow\dfrac{0}{36}$

$\Rightarrow$ $0$

$\therefore$ $\sf\: The\: answer\: of\: this\: question\: is\: 0$

$2)\longrightarrow\dfrac{2}{3} + \dfrac{7}{15} - \bigg(\dfrac{- 1}{21}\bigg) + \bigg(\dfrac{- 3}{7}\bigg)$

$\Rightarrow\dfrac{2}{3} + \dfrac{7}{15} - \bigg(\dfrac{- 1}{21} + \dfrac{- 3}{7}\bigg)$

$\Rightarrow\dfrac{30 + 21}{45} - \bigg(\dfrac{- 1 - 9}{21}\bigg)$

$\Rightarrow\dfrac{51}{45} - \bigg(\dfrac{- 10}{21}\bigg)$

$\Rightarrow\dfrac{51}{45} + \dfrac{10}{21}$

$\Rightarrow\dfrac{357 + 150}{315}$

$\Rightarrow\cancel{\dfrac{507}{315}}$

$\Rightarrow\dfrac{169}{105}$

$\Rightarrow$ $1.609$

$\therefore$ $\sf\: The\: answer\: of\: this\: question\: is\: 1.609$