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

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

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