Question

a) A= 11 \(\dfrac{3}{13}\)- ( 3\(\dfrac{4}{7}\)+ 6\(\dfrac{3}{13}\) )

b) B= ( 7\(\dfrac{4}{9}\) + 3\(\dfrac{8}{13}\) ) \(-5\dfrac{4}{9}\)

c) C= \(\dfrac{-2}{7}.\dfrac{5}{11}+\dfrac{-2}{7}.\dfrac{6}{11}+5\dfrac{4}{7}\)

d) D= \(0,7.1\dfrac{3}{5}.30.0,375.\dfrac{4}{7}\)

Answer 1

a) A = 3/7

b) B = 73/13

c) C = 37/7

d) D = 12

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Answer 2

a) \(A=11\dfrac{3}{13}-\left(3\dfrac{4}{7}-6\dfrac{3}{13}\right)\)

\(=11\dfrac{3}{13}-3\dfrac{4}{7}-6\dfrac{3}{13}\)

\(=\left(11\dfrac{3}{13}-6\dfrac{3}{13}\right)-3\dfrac{4}{7}\)

\(=1\dfrac{3}{7}\)

b) \(B=\left(7\dfrac{4}{9}+3\dfrac{8}{13}\right)-5\dfrac{4}{9}\)

\(=7\dfrac{4}{9}+3\dfrac{8}{13}-5\dfrac{4}{9}\)

\(=\left(7\dfrac{4}{9}-5\dfrac{4}{9}\right)+3\dfrac{8}{13}\)

\(=2+3\dfrac{8}{13}\)

\(=5\dfrac{8}{13}\)

c) \(C=\dfrac{-2}{7}.\dfrac{5}{11}+\dfrac{-2}{7}.\dfrac{6}{11}+5\dfrac{4}{7}\)

\(=\dfrac{-2}{7}.\left(\dfrac{5}{11}+\dfrac{6}{11}\right)+5\dfrac{4}{7}\)

\(=\dfrac{-2}{7}+5\dfrac{4}{7}\)

\(=\dfrac{-5}{7}+\dfrac{12}{7}\)

\(=\dfrac{7}{7}=1\)

d) \(D=0,7.1\dfrac{3}{5}.30.0,375.\dfrac{4}{7}\)

\(=\dfrac{7}{10}.\dfrac{8}{5}.30.\dfrac{375}{1000}.\dfrac{4}{7}\)

\(=\dfrac{36}{5}\)

\(=7,2\)