Question

Write 4 rational no between
5/2and7/3​

Answer 1

LCM of 2 and 3 is 6

$\frac{5 \times 3}{2 \times 3} \: and\: \frac{7 \times 2}{3 \times 2}$

$= \frac{15}{6} \: \: and \: \: \frac{14}{6}$

Now, we cant write 4 rational nos. between

$= \frac{15}{6} and \: \frac{14}{6}$

So we will multiply the denominator by 10

So..

$= \frac{15 \times 10}{6 \times 10} \: \: \: and \: \: \frac{14 \times 10}{6 \times 10}$

$= \frac{150}{60} \: \: and \: \: \frac{140}{100}$

so 4 rational nos. between

$\frac{150}{60} \: \: and \: \: \frac{140}{60} \: are$

$= \frac{150}{60} \: \: \frac{152}{60} \: \: \: \: \frac{153}{60} \: \: \ \: \frac{154}{60}$

Answer 2

Answer:

We will first equal the denominator of the rational number.

5/2 and 7/3

5/2 × 3/3 and 7/3 × 2/2

15/6 × 2/2 and 14/6 × 2/2

30/12 and 38/12

7 rational numbers are between 5/2 and 7/3.

30/12 < 31/12 < 32/12 < 33/12 < 34/12 < 35/12 < 36/12 < 37/12 < 38/12