Question

a,3/4 + -5/24        b, -3/5 + 1/15          c, -5/6 + 1/12

Answer 1

\(a,\dfrac{3}{4}+\dfrac{-5}{24}=\dfrac{3\times6}{24}+\dfrac{-5}{24}=\dfrac{18}{24}-\dfrac{5}{24}=\dfrac{13}{24}\\ b,\dfrac{-3}{5}+\dfrac{1}{15}=\dfrac{-3\times3}{15}+\dfrac{1}{15}=\dfrac{-9}{15}+\dfrac{1}{15}=-\dfrac{8}{15}\\ c,\dfrac{-5}{6}+\dfrac{1}{12}=\dfrac{-5\times2}{12}+\dfrac{1}{12}=\dfrac{-10}{12}+\dfrac{1}{12}=-\dfrac{9}{12}=-\dfrac{3}{4}\)

Answer 2

a, \(\dfrac{3}{4}+\dfrac{-5}{24}=\dfrac{18}{24}+\dfrac{-5}{24}=\dfrac{13}{24}\)

b, \(\dfrac{-3}{5}+\dfrac{1}{15}=\dfrac{-9}{15}+\dfrac{1}{15}=\dfrac{-8}{15}\)

c, \(\dfrac{-5}{6}+\dfrac{1}{12}=\dfrac{-10}{12}+\dfrac{1}{12}=\dfrac{-9}{12}=\dfrac{-3}{4}\)