Question

Insert five rational numbers between 1/3 and 2/3

Answer 1

7/3

8/3

9/3

10/3

11/3

this will be the answer.

Answer 2

Answer:

The numbers 7/18, 8/18. 9/18, 10/18 and 11/18 are the rational numbers that can be inserted between 1/3 and 2/3.

Step-by-step explanation:

Need to insert five rational numbers between 1/3 and 2/3.

This means need to find five rational numbers between 1/3 and 2/3.

Multiply and divide the fractions 1/3 by the number 6.

⇒ $\frac{1 \cdot 6}{3 \cdot 6}$

⇒ $\frac{6}{18}$

Similarly,

Multiply and divide the fractions 2/3 by the number 6.

⇒ $\frac{2 \cdot 6}{3 \cdot 6}$

⇒ $\frac{12}{18}$

Observe that the numbers 7/18, 8/18. 9/18, 10/18 and 11/18 are rational numbers lies between 6/18 and 12/18, i.e., 1/3 and 2/3.

Therefore, 7/18, 8/18. 9/18, 10/18 and 11/18 are the rational numbers that can be inserted between 1/3 and 2/3.

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