Question

Simplify the following Algebraic Expression :-

1) 2a/5 of [a/3 + 3a/4]
2) [x - 19x/15] divide x/5
3) p+1/3 - [2p + 3/2 + p - 1/5 ]

Answer 1

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Answer 2

$\huge{\bf{\underline{\red{Solution :}}}}$

Question - 1)

$\huge{\bold{\frac{2a}{5}\ of \ [\frac{a}{3} + \frac{3a}{4} ] }}$

$\implies \bold{\frac{2a}{5} \times [ \frac{a}{3} + \frac{3a}{4}] }$

$\implies \bold{\frac{2a}{5} \times [\frac{4a + 9a }{12} ]}$

$\implies \bold{\frac{2a}{5} \times \frac{13a}{12}}$

$\implies \boxed{\bold{\frac{13a^{2} }{30}}}$

Question - 2)

$\bold{[x - \frac{19x}{15} ] \div \frac{x}{5}}$

$\implies \bold{[ \frac{15x - 19x}{15} ] \div \frac{x}{5}}$

$\implies \bold{\frac{-4x}{15} \times \frac{5}{x}}$

$\implies \boxed{\bold{\frac{-4}{3}}}$

Question -3)

$\bold{\frac{p + 1}{3} - [ \frac{2p + 3}{2} + \frac{p - 1}{5} ] }$

$\implies \bold{\frac{p + 1}{3} - [ \frac{5(2p + 3) + 2(p - 1)}{10}]}$

$\implies \bold{\frac{p + 3}{3} - [ \frac{10p + 15 + 2p -2}{10}} ]$

$\implies \bold{\frac{p + 1}{3} - [ \frac{12p + 13}{10}} ]$

$\implies \bold{\frac{10(p +1) - 3(12p + 13)}{33}}$

$\implies \bold{\frac{10p + 10 -36p -39}{30}}$

$\implies \bold{\frac{-26p - 29}{30}}$

$\implies \boxed{\bold{\frac{26p + 29}{30}}}$

$\rule{200}2$