Question

Find :-

$\sf1. \: \frac{3}{11} + \: \frac{5}{9}$
$\sf2. \: \frac{ - 3}{8} - \frac{7}{11}$
$\sf \: 3. \: \frac{2}{3} \times \frac{ - 5}{9}$
$\sf \: 4. \: \frac{ - 7}{12} \div \frac{ - 2}{13}$
​

Answer 1

Answer :

$\sf1. \: \: \: \: \: \dfrac{3}{11} + \: \dfrac{5}{9}$

Step-by-step explanation :

$\longrightarrow \sf\dfrac{(9 \times 3) + (11 \times 5)}{99}$

$\longrightarrow\sf\dfrac{27+ 55}{99}$

$\longrightarrow\bf\dfrac{82}{99} \bigstar$

$\sf2. \: \: \: \dfrac{ - 3}{8} - \dfrac{7}{11}$

Step-by-step explanation :

$\longrightarrow \sf \dfrac{(11 \times - 3) - (8 \times 7)}{88}$

$\longrightarrow \sf \dfrac{ - 33 - 56}{88}$

$\longrightarrow\bf \dfrac{ - 89}{88} \bigstar$

$\sf \: 3. \: \: \: \: \dfrac{2}{3} \times \dfrac{ - 5}{9}$

Step-by-step explanation :

$\longrightarrow \sf \: \dfrac{2 \times - 5}{3 \times 9}$

$\longrightarrow \bf \: \dfrac{ - 10}{27} \bigstar$

$\sf \: 4. \: \: \: \: \dfrac{ - 7}{12} \div \dfrac{ - 2}{13}$

Step-by-step explanation :

$\longrightarrow \sf \: \dfrac{ - 7}{12} \times \dfrac{ 13}{ - 2}$

$\longrightarrow\sf \: \dfrac{ - 7 \times 13}{12 \times - 2}$

$\longrightarrow \sf \: \dfrac{ - 91}{ - 24}$

$\longrightarrow\bf \: \dfrac{91}{ 24} \bigstar$