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

Answer»

\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


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