Find rational number between 2 3 and 3 4

Asked by admin @ 23/08/2021 in Math viewed by 303 People

Find a rational number between 2/3 and 3/4.

[Hint : First write the rational numbers with equal denominators.]

Answered by admin @ 23/08/2021

Answer:

The rational number between 2/3 and 3/4 is 17/24

To find:

rational number between 2/3 and 3/4

Solution:

Given numbers are 2/3 and 3/4

Rational number: Rational is a number that can be written in terms of “numerator” upon the “denominator”, but denominator should not be equal to zero. The numerator and denominator are the integers.

Rational number is in the form of p/q, here q≠0

Where p is the “numerator” and q is the “denominator”

The formula to find the rational number between two numbers is $\frac {(a+b)}{2}$

$\begin{array} { l } { \text { Here } a = \frac { 2 } { 3 } } \\\\ { \mathrm { b } = \frac { 3 } { 4 } } \\\\ { = \frac { \left( \frac { 2 } { 3 } + \frac { 3 } { 4 } \right) } { 2 } } \end{array}$

$\begin{array} { l } { = \frac { \left( \frac { 8 + 9 } { 12 } \right) } { 2 } } \\\\ { = \frac { 17 } { 24 } } \end{array}$

Therefore, the rational number between 2/3 and 3/4 is 17/24

Find rational number between 2 3 and 3 4

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