question_answer

Find the multiplicative inverse of the following:

(a) \[-13~~\]

(b) \[\frac{-13}{19}\]

(c) \[\frac{1}{5}\]

(d) \[\frac{-5}{8}\times \frac{-3}{7}\]

Answer:

(a) The multiplicative inverse of - 13 is

\[-\frac{1}{13}.\]

(b) The multiplicative inverse of

\[\frac{-13}{19}\]

is

\[-\frac{19}{13}\]

(c) The multiplicative inverse of

\[\frac{1}{5}\]

is 5.

(d) The multiplicative inverse of

\[\frac{-5}{8}\times \frac{-3}{7}=\frac{15}{56}\,is\,\frac{56}{15}.\]