What should be subtracted from thrice of -8/3 to get 5/2
Answers
Answer:
➤ Answer :-
\begin{gathered}\dashrightarrow \sf \frac{( - 8)}{3} \times 3 - (x) = \frac{5}{2} \\ \end{gathered}
⇢
3
(−8)
×3−(x)=
2
5
\begin{gathered}\dashrightarrow \sf(x) = \frac{5}{2} - \bigg( \frac{( - 8)}{3} \times 3 \bigg)\\ \end{gathered}
⇢(x)=
2
5
−(
3
(−8)
×3)
\begin{gathered}\dashrightarrow \sf \frac{5}{2} - \frac{( - 8) \times 3}{3} \\ \end{gathered}
⇢
2
5
−
3
(−8)×3
\begin{gathered}\dashrightarrow \sf \frac{5}{2} - \frac{( - 24)}{3} \\ \end{gathered}
⇢
2
5
−
3
(−24)
LCM of 2 and 3 is 6.
\begin{gathered}\dashrightarrow \sf \frac{5 \times 3}{2 \times 3} - \frac{( - 24 )\times 2}{3 \times 2} \\ \end{gathered}
⇢
2×3
5×3
−
3×2
(−24)×2
\begin{gathered}\dashrightarrow \sf \frac{15}{6} - \frac{( - 48)}{6} = \frac{15 - ( - 48)}{6} \\ \end{gathered}
⇢
6
15
−
6
(−48)
=
6
15−(−48)
\begin{gathered}\dashrightarrow \sf \frac{15 + 48}{6} \\ \end{gathered}
⇢
6
15+48
\begin{gathered}\dashrightarrow \sf \frac{63}{6} = 10 \frac{3}{6} \\ \end{gathered}
⇢
6
63
=10
6
3
\Huge\therefore∴ The other number is \begin{gathered}\sf 10 \frac{3}{6} \\\end{gathered}
10
6
3