Question

Calculati
1). -11/28:33/56
2). 3intreg si 3/4 : ( - 2intreg si 11/2)
3). (-24) : (- 5 întreg și 7/13

Answer 1

$- \frac{11}{28} : \frac{33}{56} = - \frac{11}{28} \times \frac{56}{33} = - \frac{11 \times 56}{28 \times 33} = - \frac{616}{924} = - \frac{2}{3}$

$3 \frac{3}{4} : ( - 2 \frac{11}{2}) = \frac{3 \times 4 + 3}{4} : - 2 \frac{11}{2} = \frac{12 + 3}{4} : - 2 \frac{11}{2} = \frac{15}{4} : - 2 \frac{11}{2} = \frac{15}{4} : - \frac{2 \times 2 + 11}{2} = \frac{15}{4} : - \frac{4 + 11}{2} = \frac{15}{4} : - \frac{15}{2} = \frac{15}{4} \times \frac{2}{ - 15} = \frac{15 \times 2}{4 \times - 15} = \frac{30}{ - 60} = - \frac{30}{60} = - \frac{1}{2}$

$( - 24) : ( - 5 \frac{7}{13}) = - 24 : - \frac{5 \times 13 + 7}{13} = - 24 : - \frac{65 + 7}{13} = - 24 : - \frac{72}{13} = - 24 \times \frac{13}{ - 72} = - \frac{312}{ - 72} = - ( - \frac{312}{72}) = - ( - \frac{13}{3}) = \frac{13}{3} = 4 \frac{1}{3}$