Question

Find four rational number between 2 / 3 and 5/6

Answer 1

Answer:

LCM of 3 and 6 = 6

2/3 = (2×2) / (3×2) = 4/6

4/6 = (4×5) / (6×5) = 20/30

5/6 = (5×5) / (6×5) = 25/30

Hence, 21/30, 22/30, 23/30 and 24/30 are four rational numbers between 2/3 and 5/6.

Answer 2

Answer:

The numbers 21/30, 22/30, 23/30 and 24/30 are four rational numbers lies between $\frac{2}{3}$ and $\frac{5}{6}$.

Step-by-step explanation:

To find: Four rational number between $2/3$ and $5/6$.

Step 1 of 3

First, make the denominators equal of both the numbers.

Multiply and divide the fraction $\frac{2}{3}$ by the number $2$.

⇒ $\frac{2}3} \times \frac{2}{2}$

⇒ $\frac{4}{6}$

Step 2 of 3

Multiply and divide the fraction $\frac{4}{6}$ by the number $5$.

⇒ $\frac{4}{6} \times \frac{5}{5}$

⇒ $\frac{20}{30}$

Similarly,

Multiply and divide the the fraction $\frac{5}{6}$ by the number $5$.

⇒ $\frac{5}{6} \times \frac{5}{5}$

⇒ $\frac{25}{30}$

Step 3 of 3

Four rational numbers between $\frac{2}{3}$ and $\frac{5}{6}$ are:

The numbers 21/30, 22/30, 23/30 and 24/30 are four rational number lies between 20/30 and 25/30, i.e., $\frac{2}{3}$ and $\frac{5}{6}$.

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