Question

a) 1/3 - (-3/4) - 7/6b) 3/23 - 7/11 + 5/19 - 4/11 + 14/19c) 2. (4 ² - 5,31) + 4,59 - (-3,17)

Answer 1

a) \(\dfrac{1}{3}-\left(-\dfrac{3}{4}\right)-\dfrac{7}{6}\)

\(=\dfrac{1}{3}+\dfrac{3}{4}-\dfrac{7}{6}\)

\(=\dfrac{4}{12}+\dfrac{9}{12}-\dfrac{14}{12}\)

\(=-\dfrac{1}{12}\)

b) \(\dfrac{3}{23}-\dfrac{7}{11}+\dfrac{5}{19}-\dfrac{4}{11}+\dfrac{14}{19}\)

\(=\dfrac{3}{23}+\left(-\dfrac{7}{11}-\dfrac{4}{11}\right)+\left(\dfrac{5}{19}+\dfrac{14}{19}\right)\)

\(=\dfrac{3}{23}-1+1\)

\(=\dfrac{3}{23}\)

c) \(2.\left(4^2-5,31\right)+4,59-\left(-3,17\right)\)

\(=32-10,62+4,59+3,17\)

\(=32-\left(10,62-4,59-3,17\right)\)

\(=32-2,86\)

\(=29,14\)