A) 51=17*3, а 15=5*3
![\cfrac{17\cdot 5 \cdot 3}{12 \cdot 17 \cdot 3} = \cfrac{5}{12}](https://tex.z-dn.net/?f=%5Ccfrac%7B17%5Ccdot+5+%5Ccdot+3%7D%7B12+%5Ccdot+17+%5Ccdot+3%7D+%3D+%5Ccfrac%7B5%7D%7B12%7D)
б) 50=25*2, 48=16*3
![\cfrac{16\cdot 3 \cdot 25 \cdot 2}{25 \cdot 16} = \cfrac{2\cdot 3}{1} = 6](https://tex.z-dn.net/?f=%5Ccfrac%7B16%5Ccdot+3+%5Ccdot+25+%5Ccdot+2%7D%7B25+%5Ccdot+16%7D+%3D+%5Ccfrac%7B2%5Ccdot+3%7D%7B1%7D+%3D+6)
в) 12 = 3*4, 14 = 7*2, 16 = 4*2*2, 35=5*7
![\cfrac{3\cdot 4 \cdot 7 \cdot 2}{4 \cdot 2 \cdot 2 \cdot 7 \cdot 5} = \cfrac{3}{2 \cdot 5} = \cfrac{3}{10}](https://tex.z-dn.net/?f=%5Ccfrac%7B3%5Ccdot+4+%5Ccdot+7+%5Ccdot+2%7D%7B4+%5Ccdot+2+%5Ccdot+2+%5Ccdot+7+%5Ccdot+5%7D+%3D+%5Ccfrac%7B3%7D%7B2+%5Ccdot+5%7D+%3D+%5Ccfrac%7B3%7D%7B10%7D)
г) 22=11*2, 36=12*3, 33=11*3
![\cfrac{11 \cdot 2 \cdot 12}{12 \cdot 3 \cdot 11\cdot 3} = \cfrac{2}{3 \cdot 3} = \cfrac{2}{9}](https://tex.z-dn.net/?f=%5Ccfrac%7B11+%5Ccdot+2+%5Ccdot+12%7D%7B12+%5Ccdot+3+%5Ccdot+11%5Ccdot+3%7D+%3D+%5Ccfrac%7B2%7D%7B3+%5Ccdot+3%7D+%3D+%5Ccfrac%7B2%7D%7B9%7D)
д) 18=6*3, 15=3*5, 4 = 2*2, 10=5*2
![\cfrac{6 \cdot 3 \cdot 5 \cdot 2 \cdot 2}{6 \cdot 3 \cdot 27 \cdot 5 \cdot 2} = \cfrac{2}{27}](https://tex.z-dn.net/?f=%5Ccfrac%7B6+%5Ccdot+3+%5Ccdot+5+%5Ccdot+2+%5Ccdot+2%7D%7B6+%5Ccdot+3+%5Ccdot+27+%5Ccdot+5+%5Ccdot+2%7D+%3D+%5Ccfrac%7B2%7D%7B27%7D)
e) 82=41*2, 15=5*3, 16=4*4, 12=4*3, 20=5*4
![\cfrac{41 \cdot 2 \cdot 5 \cdot 3 \cdot 4 \cdot 4}{4 \cdot 3 \cdot 41 \cdot 5 \cdot 4} = \cfrac{2}{1}=2](https://tex.z-dn.net/?f=%5Ccfrac%7B41+%5Ccdot+2+%5Ccdot+5+%5Ccdot+3+%5Ccdot+4+%5Ccdot+4%7D%7B4+%5Ccdot+3+%5Ccdot+41+%5Ccdot+5+%5Ccdot+4%7D+%3D+%5Ccfrac%7B2%7D%7B1%7D%3D2)
ж) а - сокращаются, 25=5*5, 24=6*4, 18=6*3
![\cfrac{6 \cdot 4 \cdot a \cdot 5 \cdot b}{5 \cdot 5 \cdot c \cdot 6 \cdot 3 \cdot a} = \cfrac{4b}{15c}](https://tex.z-dn.net/?f=%5Ccfrac%7B6+%5Ccdot+4+%5Ccdot+a+%5Ccdot+5+%5Ccdot+b%7D%7B5+%5Ccdot+5+%5Ccdot+c+%5Ccdot+6+%5Ccdot+3+%5Ccdot+a%7D+%3D+%5Ccfrac%7B4b%7D%7B15c%7D)
3) b - сокращаются
![\cfrac{a}{c}](https://tex.z-dn.net/?f=%5Ccfrac%7Ba%7D%7Bc%7D)