A rational number between 34 and 43 rational number is ____.

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A rational number between $\frac{3}{4} and \frac{4}{3}$ rational number is ____.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

According to the problem, we need to find a rational number between the following rational numbers
Now, let us find the rational that lies between the rational numbers

\frac{3}{4} and \frac{4}{3}

. We know that the average of the two numbers a and b lies between them and its value is

\frac{a + b}{2}

.
So, let us find the average of the rational numbers

\frac{3}{4} and \frac{4}{3}

. Let us assume that average as r1.

\Rightarrow r 1 = \frac{\frac{3}{4} + \frac{4}{3}}{2}

\Rightarrow r 1 = \frac{\frac{9 + 16}{12}}{2} .

\Rightarrow r 1 = \frac{\frac{25}{12}}{2} .

\Rightarrow r 1 = \frac{25}{24} .

∴ The rational numbers that lie between the rational numbers

\frac{3}{4} and \frac{4}{3}

\frac{25}{24}

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

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

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!