Пошаговое объяснение:
1. (1/30)*3¹/₃=(1/30)*(10/3)=1*10/(30*3)=1/9.
2. -(1/9)+(1/63)=(-7+1)/63=-6/63=-2/21.
3. 9¹/₆-1⁹/₁₄=(55/6)-(23/14)=(55*7-23*3)/42=(385-69)/42=316/42=158/21.
4. (158/21)-(2/21)=156/21=52/7.
5. 8⁴/₁₅-6⁷/₂₄=(124/15)-(151/24)=(124*8-151*5)/120=(992-775)/120=
=237/120=79/40.
6. (79/40):0,8=(79/40):(4/5)=(79/40)*(5/4)=79*5/(40*4)=79/32.
7. 1¹/₂:2,25=(3/2):2¹/₄=(3/2):(9/4)=(3/2)*(4/9)=3*4/(2*9)=2/3.
(19/96)+(79/32)-(2/3)=(19+79*3-2*32)/96=(19+237-64)/96=192/96=2.
8. (52/7):2=26/7=3⁵/₇.
Пошаговое объяснение:
1. (1/30)*3¹/₃=(1/30)*(10/3)=1*10/(30*3)=1/9.
2. -(1/9)+(1/63)=(-7+1)/63=-6/63=-2/21.
3. 9¹/₆-1⁹/₁₄=(55/6)-(23/14)=(55*7-23*3)/42=(385-69)/42=316/42=158/21.
4. (158/21)-(2/21)=156/21=52/7.
5. 8⁴/₁₅-6⁷/₂₄=(124/15)-(151/24)=(124*8-151*5)/120=(992-775)/120=
=237/120=79/40.
6. (79/40):0,8=(79/40):(4/5)=(79/40)*(5/4)=79*5/(40*4)=79/32.
7. 1¹/₂:2,25=(3/2):2¹/₄=(3/2):(9/4)=(3/2)*(4/9)=3*4/(2*9)=2/3.
(19/96)+(79/32)-(2/3)=(19+79*3-2*32)/96=(19+237-64)/96=192/96=2.
8. (52/7):2=26/7=3⁵/₇.