Question

g)3 - (1/2 - 1/3) =

h) - 5/4 - ( - 3 - 1/3)=

i)- 4/9 - ( - 3 - 2/3)=

j)7/9 + 5/12 - 1/6 =

k) 3 + ( 5/4 - 1/2 )=

l) - 3/5 + 6/5 - 1/3=

Answer 1

Resposta:

g)3 - (1/2 - 1/3) =

$3-(\frac{1}{2} -\frac{1}{3} )=$  $3-(\frac{3}{6} -\frac{2}{6} )=$  $3-(\frac{3-2}{6} )=$  $3-\frac{1}{6} =$  $\frac{18}{6} -\frac{1}{6} =\frac{18-1}{6} =\frac{17}{6}$

h) - 5/4 - ( - 3 - 1/3)=

$-\frac{5}{4} -(-3-\frac{1}{3} )=$   $-\frac{5}{4} -(-\frac{9}{3}-\frac{1}{3} )=$  $-\frac{5}{4} -(\frac{-9-1}{3}} )=$  $-\frac{5}{4} -(\frac{-10}{3}} )=$

$-\frac{5}{4} +\frac{10}{3}} =$  $-\frac{15}{12} +\frac{40}{12}} =$  $\frac{-15+40}{12} =$  $\frac{25}{12}$

i)- 4/9 - ( - 3 - 2/3)=

$-\frac{4}{9} -(-3-\frac{2}{3}) =$  $-\frac{4}{9} -(-\frac{9}{3} -\frac{2}{3}) =$  $-\frac{4}{9} -(\frac{-9-2}{3}) =$  $-\frac{4}{9} -(\frac{-11}{3}) =$

$-\frac{4}{9}+\frac{11}{3} =$  $-\frac{4}{9}+\frac{33}{9} =$  $\frac{-4+33}{9} =$  $\frac{29}{9}$

j)7/9 + 5/12 - 1/6 =

$\frac{7}{9} +\frac{5}{12} -\frac{1}{6} =$  $\frac{28}{36} +\frac{15}{36} -\frac{6}{36} =$  $\frac{28+15-6}{36} =$  $\frac{37}{36}$

k) 3 + ( 5/4 - 1/2 )=

$3+(\frac{5}{4} -\frac{1}{2} )=$  $3+(\frac{5}{4} -\frac{2}{4} )=$  $3+(\frac{5-2}{4} )=$  $3+\frac{3}{4}=$  $\frac{12}{4} +\frac{3}{4}=$  $\frac{12+3}{4}=$ $\frac{15}{4}$

l) - 3/5 + 6/5 - 1/3=

$-\frac{3}{5} +\frac{6}{5} -\frac{1}{3} =$  $-\frac{9}{15} +\frac{18}{15} -\frac{5}{15} =$  $\frac{-9+18-5}{15} =$  $\frac{4}{15}$