Question

1)1/2*2/3*3/4 2)5/7*7/13*13/18 3)4/11*22/39*13/16 4)42/39*1/42*39/60 5)101/102*102/103*103/104 6)3/8*8/13*13/18

Answer 1

$\displaystyle 1).. \frac{1}{2}* \frac{2}{3}* \frac{3}4}= \frac{1}{3}* \frac{3}{4}= \frac{1}{4}=0,25 \\ \\ \\ 2).. \frac{5}{7}* \frac{7}{13}* \frac{13}{18}= \frac{5}{13}* \frac{13}{18}= \frac{5}{18} \\ \\ \\ 3).. \frac{4}{11}*\frac{22}{39}*\frac{13}{16}= \frac{4*2}{13*3}*\frac{13}{4*4}= \frac{2}{3*4}= \frac{1}{6}$

$\displaystyle 4).. \frac{42}{39}*\frac{1}{42}*\frac{39}{60}= \frac{1}{39}*\frac{39}{60}= \frac{1}{60} \\ \\ \\ 5).. \frac{101}{102}*\frac{102}{103}*\frac{103}{104}= \frac{101}{103}*\frac{103}{104}= \frac{101}{104} \\ \\ \\ 6).. \frac{3}{8}*\frac{8}{13}*\frac{13}{18}= \frac{3}{13}*\frac{13}{18}= \frac{3}{18}= \frac{1}{6}$

Answer 2

To simplify the given expressions, you can cancel out common factors in the numerators and denominators. Here are the simplified results for each expression:

1. (1/2) * (2/3) * (3/4) = 1/4
2. (5/7) * (7/13) * (13/18) = 5/18
3. (4/11) * (22/39) * (13/16) = 26/143
4. (42/39) * (1/42) * (39/60) = 1/20
5. (101/102) * (102/103) * (103/104) = 101/104
6. (3/8) * (8/13) * (13/18) = 1/2