Question

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

Answer 1

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

Answer 2

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
​
​