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

Mathematics

2 answers:

alexandr402 [8]3 years ago

7 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

Anna007 [38]3 years ago

4 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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HOW TO FINISH IT? Complete the table and pattern. Determine the common difference. Write the explicit rule.

sp2606 [1]

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