Answer:
3/5 has the smallest denominator
Step-by-step explanation:
Question:
There exist infinitely many common fractions a/b , where a > 0 and b > 0 and for which 3/5 < a/b< 2/3. Of these common fractions, which has the smallest denominator? Express your answer as a common fraction.
Solution
A Common fraction is a rational number written in the form: a/b. Where a and b are both integers.
The denominator and numerator in this case are greater than zero. That is, they are non zeros.
The least common denominator (LCD) of two non- zero denominators is the smallest whole number that is divisible by each of the denominators.
To find the smallest denominator between 3/5 and 2/3, we would convert the fractions to equivalent fractions with a common denominator by finding their LCM (lowest common multiple).
When comparing two fractions with like denominators, the larger fraction is the one with the greater numerator and the smaller fraction is one with the smaller numerator.
In our solution after comparing, the smaller fraction would have the smallest denominator.
Find attached the solution.
Answer:
m = (2 - (-1)) / (0 - (-1)) = 3/1 = 3
y = 3 * (x - 0) + 2
y = 3 * x + 2
Answer:
(a) The solutions are: 
(b) The solutions are: 
(c) The solutions are: 
(d) The solutions are: 
(e) The solutions are: 
(f) The solutions are: 
(g) The solutions are: 
(h) The solutions are: 
Step-by-step explanation:
To find the solutions of these quadratic equations you must:
(a) For 





The solutions are: 
(b) For 

The solutions are: 
(c) For 

The solutions are: 
(d) For 


For a quadratic equation of the form
the solutions are:



The solutions are: 
(e) For 




The solutions are: 
(f) For 


The solutions are: 
(g) For 

Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

The solutions are: 
(h) For 

Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

The solutions are: 
Just the Mountain bike, cause 4% of $2000 is, $80. and $80 for each year for 7 years make $560. now after 7 years your bank account has $2560. Therefore, you can buy a mountain bike, and have $60 left over, if there is no tax included. But if there is tax, your going to be still short by $115.(calculated according to florida's tax, that is 7%.) Anyways if the tax is over 2% you cant get that bike.