Question

What should be subtracted from thrice the rational number -8/3 to get 5/2?

Answer 1

➤ Answer :-

$\dashrightarrow \sf \frac{( - 8)}{3} \times 3 - (x) = \frac{5}{2}$

$\dashrightarrow \sf(x) = \frac{5}{2} - \bigg( \frac{( - 8)}{3} \times 3 \bigg)$

$\dashrightarrow \sf \frac{5}{2} - \frac{( - 8) \times 3}{3}$

$\dashrightarrow \sf \frac{5}{2} - \frac{( - 24)}{3}$

LCM of 2 and 3 is 6.

$\dashrightarrow \sf \frac{5 \times 3}{2 \times 3} - \frac{( - 24 )\times 2}{3 \times 2}$

$\dashrightarrow \sf \frac{15}{6} - \frac{( - 48)}{6} = \frac{15 - ( - 48)}{6}$

$\dashrightarrow \sf \frac{15 + 48}{6}$

$\dashrightarrow \sf \frac{63}{6} = 10 \frac{3}{6}$

$\Huge\therefore$The other number is $\sf 10 \frac{3}{6}$