Free points have a good day

Can you simplify 4/7? 24 points will be awarded!

It took alice 5 5/6 hours to drive to her grandparents' house for . on the way home, she ran into traffic and it took her 7 3/8 hours. how much longer did the return trip take? write your answer as a proper fraction or mixed number in simplest form. the trip home took __hours longer. ?

Write the equation in logarithmic form m^x=n