Answer:
1/12 + 16 = 1/4
1/4 - 1/8 = 1/8
2/3 + 1/3 = 1
1/2 - 1/6 = 1/3
Explanation:
1/12 + 1/6
LCM of denominators 12 and 6 = 12
1/6
Multiply 2 to both numerator and denominator,
1/6 * 2/2
= ( 1*2 )/( 6*2 )
= 2/12
1/12 + 1/6
= 1/12 + 2/12
= ( 1 + 2 )/12
= 3/12
12 = 3*4
3/12
= 3/( 3*4 )
= 1/4
1/4 - 1/8
LCM of denominators 4 and 8 = 8
1/4
Multiply 2 to both numerator and denominator,
1/4 * 2/2
= ( 1*2 )/( 4*2 )
= 2/8
1/4 - 1/8
= 2/8 - 1/8
= ( 2 - 1 )/8
= 1/8
2/3 + 1/3
= ( 2 + 1 )/3
= 3/3
= 1
1/2 - 1/6
LCM of denominators 2 and 6 = 6
1/2
Multiply 3 to both numerator and denominator,
1/2 * 3/3
= ( 1*3 )/( 2*3 )
= 3/6
1/2 - 1/6
= 3/6 - 1/6
= ( 3 - 1 )/6
= 2/6
6 = 2*3
2/6
= 2/( 2*3 )
= 1/3