Find a rational number between 1 4 and 1 3

Asked by admin @ 02/08/2021 in Math viewed by 326 People

Find a rational number between 1/4 and1/3.

Answered by admin @ 02/08/2021

Answer:

The rational number between 1/4 and 1/3 is 7/24.

To find:

Rational number between 1/4 and 1/3

Solution:

When we want to find out rational number between two rational numbers, we have to take the arithmetic mean of those two numbers. Hence, if we want to find rational number between 1/4 and 1/3, we will have to calculate their arithmetic mean.

$\begin{array} { c } { \left( \frac { 1 } { 2 } \right) \left( \frac { 1 } { 4 } + \frac { 1 } { 3 } \right) } \\\\ { = \left( \frac { 1 } { 2 } \right) \left( \frac { 3 } { 12 } + \frac { 4 } { 12 } \right) } \\\\ { = \left( \frac { 1 } { 2 } \right) \left( \frac { 7 } { 12 } \right) } \\\\ { = \frac { 7 } { 24 } } \end{array}$

Hence, the rational number between 1/4 and 1/3 is 7/24.

Find a rational number between 1 4 and 1 3

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