Question

Find the sum of :—
$(i) \: \frac{5}{3} + \frac{3}{5}$
$(ii) \: \frac{ - 9}{10} + \frac{22}{15}$
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Answer 1

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$(i) \red{\frac{5}{3}  +  \frac{3}{5}} \\   \\ = \frac{25 + 9}{15} \\ \\ = \frac{34}{15} \\ \\ = 2.266..$

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$(ii) Given,  \red{\frac{ - 9}{10} + \frac{22}{15}} \\ \\ = - \frac{9 \times 3}{10 \times 3} + \frac{22 \times 2}{15 \times 2} \\ \\ = - \frac{27}{30} + \frac{44}{30} \\ \\ = \frac{ - 27 + 44}{30} \\ \\ = > \frac{17}{30}$

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Answer 2

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Find the sum of :—

(i) $\: \frac{5}{3} + \frac{3}{5}$

(ii) $\: \frac{ - 9}{10} + \frac{22}{15}$

$\huge{\mathcal{{\underline\red{Answer}}}}$

(i) $\: \frac{5}{3} + \frac{3}{5}$

➪LCM of 3 and 5 is 15

$⇒ \frac{5}{3} = \frac{5 \times 5}{3 \times 5} = \frac{25}{15}$

$⇒ \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15}$

$➪ \: \frac{5}{3} + \frac{3}{5}$

$➪ \frac{25}{15} + \frac{9}{15}$

$➪ \frac{25 + 9}{15}$

$➪ \frac{34}{15}$

$➪2 \frac{4}{15}$

(ii) $\: \frac{ - 9}{10} + \frac{22}{15}$

➪ LCM of 10 and 15 is 30

$⇒ \frac{ - 9}{10} = \frac{ - 9 \times 3}{10 \times 3} = \frac{ - 27}{30}$

$⇒ \frac{22}{15} = \frac{22 \times 2}{15 \times 2} = \frac{44}{30}$

$➪ \frac{ - 9}{10} + \frac{22}{15}$

$➪ \frac{ - 27}{30} + \frac{44}{30}$

$➪\frac{ - 22 + 44}{30}$

$➪ \frac{17}{30}$