Question 125823
{{{-6/5-13/5+4/5}}} Start with the given expression



Since every denominator is equal to one another, we can combine the fractions. 


{{{(-6-13+4)/5}}} Combine the fractions by adding/subtracting every numerator over the same denominator



{{{(-19+4)/5}}} Subtract 13 from -6 to get -19. In other words, {{{-6-13=-19}}} (note: this is where you made the mistake)



{{{(-15)/5}}} Add 4 to -19 to get -15. In other words, {{{-19+4=-15}}}



{{{-3}}} Reduce {{{(-15)/5}}} to get -3




So {{{-6/5-13/5+4/5}}} simplifies to -3. In other words, {{{-6/5-13/5+4/5=-3}}}



Check:


You can simply use a calculator to check your work