1. 101 27/10000 = 101 + 27/100000=101 + 00027 = 101.00027
2. 0.36 = 36/100 = 9/25. Sum of numerator and denominator = 9 + 25 = 34
3. Required decimal =1/60 x 60 = 1/3600 = .00027
4. 4 A + 7/B + 2 C + 5/D + 6 E = 47.2506
4 A + 7/B 2 C + 5/D + 6 E = 40+7 + 0.2 + 0.05 + 0.0006
Comparing the terms on both sides, we get:
4 A = 40, 7/B = 7, 2 C = 0.2, 5/D = 0.05, 6 e = 0.0006
(or) A = 10, b=1,C =0.1,D = 100, E=0.0001.
5 A + 3 B + 6 C + D + 3 E = (5 X 10) + ( 6 X 0.1) + 100 + (3 X 0.0001)
= 50 +3 + 0.6 + 100 + 0.0003 = 153.6003.
5. converting each of the given fractions Into decimal form, we get:
1/3 =0.22, 2/5 = 0.4, 4/7 = 0.57, 3/5 = 0.6 = 5/6= 0.82, 6/7 = 0.857,
Clearly, 0.33 <0.4 < 0.57 <0.6 < 0.82<0.857 so, 1/3 <2/5<4/7<3/5<5/6<6/7.
6. Converting each of the given fractions into decimal form, we get:
2/3 = 0.66, 3/5 = 0.6, 7/9 = 0.77, 9/11 = 0.81, 8/9 = 0.88.
Clearly, 0.6 <0.66 <0.77 <0.81. So, 3/5 <2/3 <7/9 <9/11 < 8/9.
7. Converting each of the given fractions into decimal form, we get:
5/9 = 0.55, 7/11 = 0.63, 8/15 = 0.533, 11/17 = 0.647.
Clearly, 0.647 > 0.63> 0.55> 0.533. So, 11/17 > 7/11> 5/9 >8>15.
8. Converting each of the given fractions into decimal form, we get>
