Question

Simplify:

\[\frac{5}{26} + \frac{11}{- 39}\]

Answer 1

\[\frac{5}{26} + \frac{11}{- 39} = \frac{5}{26} + \frac{- 11}{39}\]
\[\text{L.C.M. of thedenominators 26 and 39 is 78.}\]
\[\text{Now, we willexpress}\frac{5}{26}\text{and}\frac{- 11}{39}\text{in the form in which they take thedenominator 78.}\]
\[\frac{5 \times 3}{26 \times 3} = \frac{15}{78}\]
\[\frac{- 11 \times 2}{39 \times 2} = \frac{- 22}{78}\]
\[\text{So}\]
\[\frac{5}{26} + \frac{- 11}{39} = \frac{15}{78} + \frac{- 22}{78}\]
\[ = \frac{15 - 22)}{78}\]
\[ = \frac{- 7}{78}\]