Answer to Question #304083 in Algebra for Christina

Question

Kgabo completed 2/5 of a job. The next day he completed 3/8 of the remaining job. The part of the job that is still left, given as a fraction is?

Answer 1

Let the total job be 1. So Kgabo completed 2/5 of a job and $1-\dfrac25 = \dfrac35$ of a job was left. The next day he completed 3/8 from the left job or $\dfrac38\cdot\dfrac35 = \dfrac{9}{40}$ of a total job, so it is left only $1-\dfrac25 - \dfrac{9}{40} = \dfrac35 - \dfrac{9}{40} = \dfrac{24}{40} - \dfrac{9}{40} = \dfrac{15}{40} = \dfrac{3}{8}$ of a total job.