Question

а)7/12 - 4/12 +9/12
б)5/29 + 12/29 - 14/29 + 7/29
в)(17/47 + 12/47)-(41/47 - 37/47)
г)5/14 - 3/14 + 12/14
д)29/37 - 15/37 - 7/37 + 9/37
е)(29/43 - 13/43)+(35/43 - 28/43)

Answer 1

$a) \frac{7}{12} - \frac{4}{12} + \frac{9}{12} = \frac{7 - 4 + 9}{12} = \frac{12}{12} = 1$

$b) \frac{5}{29} + \frac{12}{29} - \frac{14}{29} + \frac{7}{29} = \frac{5 + 12 - 14 + 7}{29} = \frac{10}{29}$

$c)( \frac{17}{47} + \frac{12}{47}) - ( \frac{41}{47} - \frac{37}{47} ) = \frac{17 + 12}{47} - \frac{41 - 37}{47} = \frac{29}{47} - \frac{4}{47} = \frac{29 - 4}{47} = \frac{25}{47}$

$d) \frac{5}{14} - \frac{3}{14} + \frac{12}{14} = \frac{5 - 3 + 12}{14} = \frac{14}{14} = 1$

$e) \frac{29}{37} - \frac{15}{37} - \frac{7}{37} + \frac{9}{37} = \frac{29 - 15 - 7 + 9}{37} = \frac{16}{37}$

$f)( \frac{29}{43} - \frac{13}{43} ) + ( \frac{35}{43} - \frac{28}{43}) = \frac{29 - 13}{43} + \frac{35 - 28}{43} = \frac{16}{43} + \frac{7}{43} = \frac{16 + 7}{43} = \frac{23}{43}$