Answer:
6/21.
Step-by-step explanation:
let the rational number be 2x/7x.
2x + 4 / 7x - 2 = 10 /19
Cross multiply:
19(2x + 4) = 10(7x - 2)
38x + 76 = 70x - 20
96 = 70x - 38x
32x = 96
x = 3.
So the rational number is 2*3/ 7*3
= 6/21.
For that last part you can leave your answer as a fraction of -59/20 or you can divide 29 by -59 and you’ll get -2.95.
<h2>
Answer:</h2>
<em>SInce this continued fraction does not terminate, we can tell that √5 cannot be represented as a terminating fraction - i.e. a rational number. So √5 is an irrational number a little smaller than 214=94 . For better rational approximations you can terminate the continued fraction after more terms.</em>
hope this help!