Question

Va rog dau coroana!!!​

Answer 1

a)$\frac{8}{21}$ × 8$\frac{3}{4}$ = $\frac{8}{21}$ $\frac{3+8*4}{4}$=$\frac{8}{21}$×$\frac{35}{4}$=$\frac{8*35}{21*4}$ = $\frac{280}{84}$ = $\frac{10*28}{3*28}$ =$\frac{10}{3}$ =3 $\frac{1}{3}$≈3,333333

b) 6$\frac{2}{3}$ * $\frac{9}{16}$ = $\frac{2+6*3}{3}$ * $\frac{9}{16}$ = $\frac{20}{9}$ * $\frac{9}{16\\}$ = $\frac{20*9}{3*16}$ = $\frac{180}{48}$ = $\frac{15*12}{4*12}$ = $\frac{15}{4}$ = $\frac{3*4+3}{4}$ = 3$\frac{3}{4}$ = 3,75

c) 2 $\frac{1}{4} * \frac{20}{27} = \frac{1+2*4}{4} * \frac{20}{27} =\frac{9}{4} * \frac{20}{27} =\frac{9*20}{4*27} = \frac{180}{108} = \frac{5*36}{3*36} = \frac{5}{3} = \frac{1*3+2}{3} =1 \frac{2}{3}$≈1,6666666

d) $\frac{7}{25} * 4 \frac{1}{6} = \frac{7}{25} * \frac{1+4*6}{6} =\frac{7}{25} * \frac{25}{6} =\frac{175}{150} = \frac{7*25}{6*25} = \frac{7}{6} = 1\frac{7}{6}$≈1,166666

e) 2 $\frac{2}{7} * \frac{21}{32} = \frac{2+2*7}{7} * \frac{21}{32} = \frac{16}{7} * \frac{21}{32} = \frac{1336}{224} = \frac{3*112}{2*112} = \frac{3}{2} = 1 \frac{1}{2}$ = 1,5

f) $\frac{16}{27} *5 \frac{5}{8} = \frac{16}{27} * \frac{5+5*8}{8} = \frac{16}{27} * \frac{45}{8} = \frac{720}{216} = \frac{10*72}{3*72} = \frac{10}{3} = \frac{3*3+1}{3} = 3 \frac{1}{3}$ ≈ 3,33333