Respuesta :

renknee

Answer:

8/9

Step-by-step explanation:

Solving

Step 1: Find the LCM of the denominators 2, 9, and 6:

  • Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
  • Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
  • Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
  • As you can see, the LCM of these denominators is 18

Step 2: Convert each fraction into an equivalent decimal with denominator as 18.

  • [tex]\frac{1}{2} = \frac{x}{18}[/tex], [tex]\frac{1*9}{2*9}= \frac{9}{18}[/tex]
  • [tex]\frac{2}{9} = \frac{x}{18} , \frac{2*2}{9*2} = \frac{4}{18}[/tex]
  • [tex]\frac{1}{6} =\frac{x}{18} , \frac{1*3}{6*3} =\frac{3}{18}[/tex]

Step 3: Add the fractions.

  • 9/18 + 4/18 + 3/18
  • 13/18 + 3/18
  • 16/18 (GCF of 16 and 18 is 2)
  • 16/2 = 8, 18/2 = 9
  • 8/9

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

8/9

Step-by-step 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

Otras preguntas