Question

Simplificați fracțiile până când devin ireductibile :
a)18 supra 24
b)56 supra 42
c)75 supra 105
d)288 supra 72
e)432 supra 576
f)1.008 supra 864
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Answer 1

$a) \frac{18}{24} \div 2 = \frac{9}{12} \div 3 = \frac{3}{4}$

$b) \frac{56}{42} \div 2 = \frac{28}{21}$

$c) \frac{75}{105} \div 5 = \frac{15}{21} \div 3 = \frac{5}{7}$

$d) \frac{288}{72} \div 2 = \frac{144}{36} \div 2 = \frac{72}{18} \div 2 = \frac{36}{9 } \div 3 = \frac{12}{3} \div 3 = \frac{4}{1}$

$e)\frac{432}{576} \div 2 = \frac{216}{288} \div 2 = \frac{108}{144} \div 2 = \frac{54}{72} \div 2 = \frac{27}{36} \div 3 = \frac{9}{12} \div 3 = \frac{3}{4}$

$f)\frac{1008}{864} \div 2 = \frac{504}{432} \div 2 = \frac{252}{216} \div 2 = \frac{126}{108} \div 2 = \frac{63}{54} \div 3 = \frac{21}{18} \div 3 = \frac{7}{6}$