Question

(4 întregi 7/9 - 1 întregi 1/2) - (15/16 - 1/24) VA ROG!!!!

Answer 1

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Answer 2

Răspuns:

$\frac{343}{144} = 2\frac{55}{144}$

Explicație pas cu pas:

$(4\frac{7}{9} - 1\frac{1}{2} ) - (\frac{15}{16} - \frac{1}{24} )$

$= (\frac{4*9 + 7}{9} - \frac{1*2+1}{2} ) - (\frac{15*3}{48} - \frac{1*2}{48} )$

$= (\frac{43}{9} - \frac{3}{2} ) - \frac{45-2}{48}$

$= \frac{43*2 - 3*9}{18} - \frac{43}{48}$

$= \frac{59}{18} - \frac{43}{48}$

$= \frac{59*8}{144} - \frac{43*3}{144}$   (am adus fractiile la acelasi numitor)

$= \frac{472 - 129}{144}$

$= \frac{343}{144}$

$= 2\frac{55}{144}$