Question

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

Answer 1

Step-by-step explanation:

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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

$between \: two \: numbers \: is \: \frac {(a+b)}{2} </p><p>2</p><p>(a+b)</p><p>$

$Here \: a= </p><p>3</p><p>2</p><p> \\ </p><p>b= </p><p>4</p><p>3</p><p> \\ </p><p>= </p><p>2</p><p>( </p><p>3</p><p>2</p><p> \\ </p><p> + </p><p>4</p><p>3</p><p> </p><p> )</p><p> \\ </p><p>\begin{gathered}\begin{array} { l } { = \frac { \left( \frac { 8 + 9 } { 12 } \right) } { 2 } } \\\\ { = \frac { 17 } { 24 } } \end{array}\end{gathered} </p><p>= </p><p>2</p><p>( </p><p>12</p><p>8+9</p><p> </p><p> )</p><p> </p><p> </p><p>= </p><p>24</p><p>17</p><p> </p><p> </p><p> </p><p> </p><p>$

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

Answer 2

$\large{\huge{\underline \mathbb{ \overline { \mid{ \blue{Answer} \mid}}}} } \\ \\ \frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24 } \\ \\ \frac{3}{4} = \frac{3 \times 6}{4 \times 6} = \frac{18}{24} \\ \\ rational \: number \: between \\ \frac{2}{3} \: and \frac{3}{4} = \boxed{ \frac{17}{24} }$