Question

Find
a) -5/3 + 3/5
b) 5/63 - (-6/21)
c) -1/8 = 3/4​

Answer 1

➤ Answer :-

$\tt \longrightarrow \dfrac{( - 5)}{3} + \dfrac{3}{5}$

Convert them into like fractions by taking the LCM of the denominators i.e, 3 and 5.

LCM of 3 and 5 is 15.

$\tt \longrightarrow \dfrac{( - 5) \times 5}{3 \times 5} + \dfrac{3 \times 3}{5 \times 3}$

$\tt \longrightarrow \dfrac{( - 25)}{15} + \dfrac{9}{15} = \dfrac{( - 25) + 9}{15}$

$\tt \longrightarrow \dfrac{( - 16)}{15} = - 1 \dfrac{1}{15}$

$\Huge\therefore$The answer is $\tt - 1 \dfrac{1}{15}$

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$\tt \longrightarrow \dfrac{5}{63} - \dfrac{( - 6)}{21}$

Convert them into like fractions by taking the LCM of the denominators i.e, 63 and 21.

LCM of 63 and 21 is 63.

$\tt \longrightarrow \dfrac{5}{63} - \dfrac{( - 6) \times 3}{21 \times 3}$

$\tt \longrightarrow \dfrac{5}{63} - \dfrac{( - 18)}{63} = \dfrac{5 - ( - 18)}{63}$

$\tt \longrightarrow \dfrac{5 + 18}{63}$

$\tt \longrightarrow \dfrac{23}{63}$

$\Huge\therefore$The answer is $\tt\dfrac{23}{63}$

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$\tt \longrightarrow \dfrac{( - 1)}{8} = \dfrac{3}{4}$

The both fractions cannot be equal as one of the fraction is positive and the other fraction is negative.