<u>General method</u><u>:</u>
Given numbers are 1.3 bar and 1.4 bar
- 1.3 bar = 1.333...
- 1.4 bar = 1.444...
Two rational numbers between them
= 1.3222... and 1.43333...
<u>Mean Method</u><u>:</u>
Let X = 1.333... → → →eqn(i)
since the periodicity is 1 then multiply eqn(i) with 10
⇛10×X = 1.333...×10
⇛10X = 13.333... → → →eqn(ii)
Subtract eqn(ii)-eqn(i)
10X = 13.333...
X = 1.333...
(-)
____________
9X = 12.000...
____________
⇛9X = 12
⇛X = 12/9
⇛X = 4/3
and
Let X = 1.444... → → →eqn(i)
since the periodicity is 1 then multiply eqn(i) with 10
⇛10×X = 1.444...×10
⇛10X = 14.444...→ → →eqn(ii)
Subtract eqn(ii)-eqn(i)
10X = 14.444...
X = 1.444...
(-)
____________
9X = 13.000...
____________
⇛9X = 13
⇛X = 13/9
Now we have 12/9 and 13/9
The rational number between them by mean method (a+b)/2
⇛{(12/9)+(13/9)}/2
⇛(25/9)/2
⇛25/18
and Second rational number
⇛{(12/9)+(25/18)}/2
⇛{(24+25)/18}/2
⇛(49/18)/2
⇛49/36
<u>Answer</u><u>:</u> The two rational numbers between them are 25/18 and 49/36.
<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?
brainly.com/question/85169?referrer
Answer:
-8/15 or -.53
Step-by-step explanation:
<span>2y=3x-7
y = 3/2x - 7/2
y = 1.5x - 3.5 so slope = 1.5
</span><span>line parallel so it has same slope = 1.5
</span>
y +1 = 1.5(x - 0.5)
y + 1 = 1.5x - 0.75
y = 1.5x - 1.75
answer: equation y = 1.5x - 1.75
Here, 7/10 = 0.7
& 1/6= 0.167
Now, we know, 0.7 > 0.167
In short, 7/10 is bigger
Hope this helps!
