Question

5) 5 3/7 + (- 2 1/3) - (- 3 7/15) 6) 3 5/9 + (- 2 1/4) - (- 4 5/6) - 5 2/3
Пж помогітє!!!!

Answer 1

$5\dfrac37+\bigg(-2\dfrac13\bigg)-\bigg(-3\dfrac7{15}\bigg)=5\dfrac37-2\dfrac13+3\dfrac7{15}=5-2+3+\dfrac37-\dfrac13+\dfrac7{15}=\\\\=6+\dfrac37+\dfrac{-5+7}{15}=6+\dfrac37+\dfrac2{15}=6+\dfrac{3\cdot15+2\cdot7}{7\cdot15}=6\dfrac{59}{105}$

$3\dfrac59+\bigg(-2\dfrac14\bigg)-\bigg(-4\dfrac56\bigg)-5\dfrac23=3\dfrac59-2\dfrac14+4\dfrac56-5\dfrac23=\\\\=3-2+4-5-\dfrac14+\dfrac59+\dfrac56-\dfrac23=-\dfrac14+\dfrac{5\cdot2+5\cdot3-2\cdot6}{18}=-\dfrac14+\dfrac{13}{18}=\\\\=\dfrac{-1\cdot9+7\cdot2}{13\cdot2}=\dfrac{17}{36}$