State true or false.

Insert three rational numbers between $\frac{1}{3} and \frac{4}{5}$ . And arranged in descending order is $\frac{5}{15}, \frac{6}{15}, \frac{7}{15}, \frac{8}{15}$ .

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

True

False

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

The given statement is true.
Concept: Insert three rational numbers between

\frac{1}{3} and \frac{4}{5}

. And arranged in descending order is

\frac{5}{15}, \frac{6}{15}, \frac{7}{15}, \frac{8}{15}

. Irrational number Rational numbers (q cannot equal 0) are those that can be expressed in the

\frac{p}{q}

form, where p and q are integers and there is no common factor between p and q.
Irrational numbers are those that are not based on reason (irrational numbers are those that lack reason ) . In order to compare quantities, we must first make both denominators equal in order to put three numbers between them.Take LCM of denominators. Now, Divide LCM by each numerator then multiply and divide by the following quantity to fractions.
Multiply first quantity by 5555 and second quantity by 3333 in order to make both denominators equal.