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(1 intreg si 1/2+2 intregi si 2/3 +3 intregi si 3/4):4 intregi si 4/5 =(2 intregi si 1/2+3 intregi si 2/3+1 intreg si 3/4):x=

Răspuns :

[tex](1 \frac{1}{2} + 2 \frac{2}{3} + 3 \frac{3}{4} ) \div 4 \frac{4}{5} = (2 \frac{1}{2} + 3 \frac{2}{3} + 1 \frac{3}{4} ) \div x[/tex]

[tex] ( \frac{3}{2} + \frac{8}{3} + \frac{15}{4} ) \div \frac{24}{5} = ( \frac{5}{2} + \frac{11}{3} + \frac{7}{4} ) \div x[/tex]

[tex]( \frac{18}{12} + \frac{32}{12} + \frac{45}{12} ) \times \frac{5}{24} = ( \frac{30}{12} + \frac{44}{12} + \frac{21}{12} ) \times\frac{1}{x}[/tex]

[tex] \frac{18 + 32 + 45}{12} \times \frac{5}{24} = \frac{30 + 44 + 21}{12} \times \frac{1}{x} [/tex]

[tex] \frac{95}{12} \times \frac{5}{24} = \frac{95}{12} \times \frac{1}{x} \: | \div \frac{95}{12} [/tex]

[tex] \frac{5}{24} = \frac{1}{x} [/tex]

[tex]5x = 24[/tex]

[tex]x = \frac{24}{5} [/tex]