Question

Answer 1

a: =5/15-12/9+14/25+11/25+2/7

\(=\dfrac{1}{3}-\dfrac{4}{3}+1+\dfrac{2}{7}=-1+1+\dfrac{2}{7}=\dfrac{2}{7}\)

b: \(=4\cdot\dfrac{-1}{8}+\dfrac{1}{10}=\dfrac{-1}{2}+\dfrac{1}{10}\)

\(=\dfrac{-5}{10}+\dfrac{1}{10}=\dfrac{-4}{10}=-\dfrac{2}{5}\)

c: \(=\dfrac{3}{4}-\dfrac{1}{12}=\dfrac{9}{12}-\dfrac{1}{12}=\dfrac{8}{12}=\dfrac{2}{3}\)

e: \(=\dfrac{5}{8}\left(17+\dfrac{1}{3}-41-\dfrac{1}{3}\right)+21=\dfrac{5}{8}\cdot\left(-24\right)+21\)

=-15+21

=6

f: \(=\dfrac{-5}{3}\cdot\left(15+\dfrac{3}{7}\right)+\dfrac{5}{3}\left(27+\dfrac{3}{7}\right)\)

\(=\dfrac{5}{3}\left(-15-\dfrac{3}{7}+27+\dfrac{3}{7}\right)=\dfrac{5}{3}\cdot12=20\)