(i) \(\frac{-2}{5}+\frac{4}{5}\)
= \(\frac{-2+4}{5}\)
= \(\frac{2}{5}\)
(ii) \(\frac{-6}{11}+\frac{-4}{11}\)
= \(\frac{-6+(-4)}{11}\)
= \(\frac{-10}{11}\)
(iii) \(\frac{-11}{8}+\frac{5}{8}\)
= \(\frac{-11+5}{8}\)
= \(\frac{-6}{8}\)
To convert it into lowest terms, divide both numerator and denominator by common divisor of both 6 and 8 that is, 2
= \(\frac{-6÷2}{8÷2}\)
= \(\frac{-3}{4}\)
(iv) \(\frac{-7}{3}+\frac{1}{3}\)
= \(\frac{-7+1}{3}\)
= \(\frac{-6}{3}\)
To convert it into lowest terms, divide both numerator and denominator by common divisor of both 6 and 3 that is, 3.
= \(\frac{-6÷3}{3÷3}\)
= \(\frac{-2}{1}\)
= 2
(v) \(\frac{5}{6}+ \frac{-1}{6}\)
= \(\frac{5+(-1)}{6}\)
= \(\frac{5-1}{6}\)
= \(\frac{4}{6}\)
To convert it into lowest terms, divide both numerator and denominator by common divisor of both 4 and 6 that is, 2.
= \(\frac{4÷2}{6÷2}\)
= \(\frac{2}{3}\)
(vi) \(\frac{-17}{15}+\frac{-1}{15}\)
= \(\frac{-17+(-1)}{15}\)
= \(\frac{-18}{15}\)
To convert it into lowest terms, divide both numerator and denominator by common divisor of both 18 and 15 that is, 3.
= \(\frac{-18÷3}{15÷3}\)
= \(\frac{-6}{5}\)