Question

Add these fractions (Lowest Terms)

a) 1/6 + 1/6 b) 1/4 + 3/8 c) 2/3 + 5/6

d) 9/21 + 4/7 e) 1 3/5 + 1/10

f) 1 1/4 + 11/12 g) 1 2/3 + 2/3

h) 1 5/6 + 3 2/5

Answer 1

`a)\\\\(1)/(6) + (1)/(6)=(1+1)/(6)=(2)/(6)=(1)/(3)\\\\ b)\\\\(1)/(4) +(3)/(8)=(2)/(8)+(3)/(8)=(5)/(8)\\\\c)\\\\(2)/(3) +(5)/(6)=(4)/(6) +(5)/(6)=(4+5)/(6)=(9)/(6)=1(3)/(6)=1(1)/(2)`


`d)\\\\(9)/(21) +( 4)/(7)=(3)/(7) +( 4)/(7)=(3+4)/(7)=(7)/(7)=1\\\\ e)\\\\ 1(3)/(5) + (1)/(10 )=1(6)/(10) + (1)/(10 )=1(6+1)/(10)=1(7)/(10)`


`f)\\\\ 1( 1)/(4) + (11)/(12) =1( 3)/(12) + (11)/(12)=1(3+11)/(12) =1(14)/(12)=2(2)/(12)=2(1)/(6)\\\\g)\\\\ 1(2)/(3) + (2)/(3)=1(2+2)/(3)=1(4)/(3)=2(1)/(3)`


`h)\\\\ 1(5)/(6) + 3 (2)/(5)=1(5\cdot 5)/(30) + 3 (6\cdot 2)/(30)=1(25)/(30) + 3 ( 12)/(30)=4(25+12)/(30)=4(37)/(30)=5(7)/(30)`