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18 March, 16:46

1 2/3 + 2 3/6 step by step

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Answers (2)
  1. 18 March, 17:53
    0
    Answer:4 1/6

    Step-by-step explanation:1 2/3 is equivalent to 1 4/6, so 1 4/6+2 3 / 6 = 3 7/6 which is 4 1/6
  2. 18 March, 17:54
    0
    Simplify

    3

    6

    6



    3

    to

    1

    2

    2



    1



    1

    2

    3

    +

    2

    1

    2

    1

    3



    2

    + 2

    2



    1



    2 Add the whole numbers first

    3

    +

    2

    3

    +

    1

    2

    3+

    3



    2

    +

    2



    1



    3 Find the Least Common Denominator (LCD) of

    2

    3

    ,

    1

    2

    3



    2

    ,

    2



    1



    Method 1: By Listing Multiples

    List out all multiples of each denominator, and find the first common one.

    Multiples of 3 : 3, 6, ...

    Multiples of 2 : 2, 4, 6, ...

    Therefore, the LCD is

    6

    6.

    Method 2: By Prime Factors

    Since

    3

    ,

    2

    3,2 are prime numbers themselves, we simply multiply them to get the LCD.

    Therefore, the LCD is

    3

    *

    2

    =

    6

    3*2=6.

    LCD =

    6

    6

    4 Make the denominators the same as the LCD

    3

    +

    2

    *

    2

    3

    *

    2

    +

    1

    *

    3

    2

    *

    3

    3+

    3*2



    2*2

    +

    2*3



    1*3



    5 Simplify. Denominators are now the same

    3

    +

    4

    6

    +

    3

    6

    3+

    6



    4

    +

    6



    3



    6 Join the denominators

    3

    +

    4

    +

    3

    6

    3+

    6



    4+3



    7 Simplify

    3

    +

    7

    6

    3+

    6



    7



    8 Convert

    7

    6

    6



    7

    to mixed fraction

    3

    +

    1

    1

    6

    3+1

    6



    1



    9 Simplify

    4

    1

    6

    4

    6
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