Question

Find the value of the following with the help commutative Law and Associative Law.

⇒$\frac{5}{8}$+$\frac{-7}{15}$+$\frac{3}{32}$+$\frac{11}{75}$

Answer 1

$\frac{5}{8}+(-\frac{7}{5})+\frac{3}{32}+\frac{11}{75}=(-\frac{7}{5})+\frac{5}{8}+\frac{3}{32}+\frac{11}{75}$ (Using Commutative law)
$=(-\frac{7}{5})+\frac{20+3}{32}+\frac{11}{75}($ Using Associative law $)$
$$=(-\frac{7}{5})+\frac{23}{32}+\frac{11}{75}$$
$$=(-\frac{7}{5})+\frac{1725+352}{2400}$$
$$=(-\frac{7}{5})+\frac{2077}{2400}$$
$$=\frac{-3360+2077}{2400}$$
$$=\frac{-1283}{2400}$$