Question

find 15 rational numbers between 1/3 and 2/3.​

Answer 1

Step-by-step explanation:

• Step 1: make those two numbers comparable.I won’t go on about common denominators, but that what we’re doing really.
• 1/2 = 3/6 and 2/3=4/6So the difference between them is 1/6 . That difference is definitely less than, 1/10 (to make things easy for ourselves.
• So 1/2+1/1000, 1/2+2/1000, … 1/2+100/1000 are all rational numbers between 1/2 and 2/3
• Here’s one of them specified more completely
• 1/2+2/1000=500/1000+2/1000=502/1000That isn’t expressed in its simplest terms (251/500) but is is certainly rational and certainly is between 1/2 and 2/3 as required.

Answer 2

Step-by-step explanation:

$\frac{1}{3} \: \: and \: \: \frac{2}{3}$

On multiplying the x and y numerators and denominators by 15,

$\frac{1 \times 15}{3 \times 15} \: , \: \frac{2 \times 3}{3 \times 15}$

$\frac{15}{45} \: , \: \frac{30}{15}$

$\scriptsize = \frac{15}{45} , \frac{16}{45} , \frac{17}{45} , \frac{18}{45} , \frac{19}{45} , \frac{20}{45} , \frac{21}{45} , \frac{22}{45}, \frac{23}{45} , \frac{24}{45} , \frac{25}{45} , \frac{26}{45} , \frac{27}{45} , \frac{28}{45} , \frac{29}{45} , \frac{30}{45}$

I hope it is helpful