Question

Find five rational number between 2/3and4/5
​

Answer 1

Answer:

$\Large\underline{\underline{\sf{ \color{magenta}{\qquad Given \qquad} }}}$

rational numbers = 61 / 90 62 /90 63 /90 64/90 65/90 66/90 67 /90

$\huge\bold\star\red{DiamondEye}\star$

Answer 2

Step 1- Make denominator same

$\</u><u>b</u><u>f</u><u>\</u><u>sf</u><u>\</u><u>d</u><u>f</u><u>rac{2}{3} \times \</u><u>d</u><u>frac{5}{5 } = \</u><u>d</u><u>frac{10}{15}$

$</u><u>\</u><u>bf</u><u>\</u><u>sf</u><u>\</u><u>d</u><u>frac{4}{5} \times \</u><u>d</u><u>frac{3}{3} = \</u><u>d</u><u>frac{12}{15}$

Step 2- Since we need to find 5 rational numbers, multiply and divide by 6

$\bf\sf\dfrac{10}{15} \times \dfrac{6}{6 } = \dfrac{60}{90}$

$\bf\sf\dfrac{12}{15} \times \dfrac{6}{6} = \dfrac{72}{90}$

Therefore, five rational numbers are:

$\bf\sf\dfrac{61}{90} , \dfrac{62}{90} , \dfrac{63}{90} , \dfrac{64}{90} , \dfrac{65}{90}$