Question

Find five rational numbers between 1/4 and 1/3

Answer 1

"$\left(\frac{1}{4}=\frac{21}{84}\right),\left[\frac{22}{84}, \frac{23}{72}, \frac{24}{72}, \frac{25}{84}, \frac{26}{84},\right],\left(\frac{1}{3}=\frac{28}{84}\right) are the five rational numbers.$

Given:

$\frac { 1 }{ 4 } \quad and\quad \frac { 1 }{ 3 }$

To find:

Five rational numbers between $\frac { 1 }{ 4 } \quad and\quad \frac { 1 }{ 3 }$

Solution:

On taking L.C.M of 4 and 3, we get 12

$\frac{1}{4} \times \frac{3}{3}=\frac{3}{12}$

$\frac{1}{3} \times \frac{4}{4}=\frac{4}{12}$

Since, $\frac{3}{12} and \frac{4}{12}$are successive number and there is no number in between.

We have to multiply its numerator and denominator by 7 or by another number, so we can easily take the rational numbers in between the multiplied numbers.

$\frac{3}{12} \times \frac{7}{7}=\frac{21}{84}$

$\frac{4}{12} \times \frac{7}{7}=\frac{28}{84}$

Five rational numbers between \frac{1}{4} and \frac{1}{3}

$\left( \frac { 1 }{ 4 } =\frac { 21 }{ 84 } \right) ,\left[ \frac { 22 }{ 84 } ,\frac { 23 }{ 84 } ,\frac { 24 }{ 84 } ,\frac { 25 }{ 84 } ,\frac { 26 }{ 84 } , \right] ,\left( \frac { 1 }{ 3 } =\frac { 28 }{ 84 } \right).$"

Answer 2

Answer:

hope this might help u

Step-by-step explanation:

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