Answer:
8/9
Explanation:
Take LCM of denominators 2, 9 & 6 = 18
1/2
[ 18/2 = 9 ]
Multiply 9 to both numerator and denominator,
1/2 * 9/9
= ( 1*9 )/( 2*9 )
= 9/18
2/9
[ 18/9 = 2 ]
Multiply 2 to both numerator and denominator,
2/9 * 2/2
= ( 2*2 )/( 9*2 )
= 4/18
1/6
[ 18/6 = 3 ]
Multiply 3 to both numerator and denominator,
1/6 * 3/3
= ( 1*3 )/( 6*3 )
= 3/18
( The denominator need to be same in order to add the fractions )
1/2 + 2/9 + 1/6
= 9/18 + 4/18 + 3/18
= ( 9 + 4 + 3 )/18
= 16/18
16 = 2*8
18 = 2*9
16/18
= ( 2*8 )/( 2*9 )
= 8/9