Question

What should be multiplied with 4/7 +3/9 to get additive inverse of -5/3+7/8

Answer 1

$\frac{4}{7} + \frac{3}{9}$ = $\frac{36}{63}+\frac{21}{63}$

= $\frac{57}{63}$

$\frac{-5}{3} + \frac{7}{8}$ = $\frac{-40}{24} + \frac{21}{24}$

= $\frac{-19}{24}$

additive inverse of $\frac{-19}{24}$ = $\frac{19}{24}$

multiplied number = X

$\frac{57}{63}$ × X = $\frac{19}{24}$

X = $\frac{19}{24} × \frac{63}{57}$

= $\frac{7}{8}$

Answer 2

4/7+3/9*x=-5/3+7/8

36+21/63*x=-40+21/24

57/63*x=-19/24

x=-19/24 devide 57/63

x=-19/24*63/57

x=-7/8