Question

write three irrational number between 2/3 and 3/5​

Answer 1

$\underline\bold\red{\mathcal{Question}}$

Write three irrational number between 2/3 and 3/5

$\underline\bold\red{\mathcal{To \: find}}$

Three rational numbers between

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

$\underline\bold\red{\mathcal{Solution}}$

LCM of 3 and 5 => 15

So,

$\frac{2 \times 5}{3 \times 5} = \frac{10}{15}$

and

$\frac{3 \times 3}{5 \times 3} = \frac{9}{15}$

Between 10/15 and 9/15,we are able to see rational number, so we will multiply it further by 10

$\frac{10 \times 10}{15 \times 10} = \frac{100}{150}$

and

$\frac{9\times 15}{15 \times 10} = \frac{135}{150}$

So,Three rational number between 2/3 and 3/5 are=>

$\frac{111}{150}, \frac{112}{150}, \frac{115}{150}$

You can write any three rational numbers between 100/150 and 135/150.

★Note★

• Rational numbers are the number which can be written in p/q form numerator p and a non-zero denominator q.

• Rational numbers are infinite between any two number