The quadratic function h(t)= -16.t^2+150 models a ball’s height, in feet, over time, in seconds, after it is dropped from a 15 s
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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.
The number of hours he worked in all (written in fraction form) is
From the question,
Mario worked from 8:25 to 12:45 yesterday.
From 8:25 to 12:45 gives 4 hours 20 minutes
Also, from the question,
Today he will work from 11:20 to 3:10
From 11:20 to 3:10 gives 3 hours 50 minutes
To determine the number of hours he work in all, we will add the time spent working on the previous day to that of the current day. That is,
4 hours 20 minutes + 3 hours 50 minutes = 8 hours 10 minutes
Now, to put the answer in fraction form, we will convert 10 minutes to hours
NOTE: 60 minutes = 1 hour
∴ 10 minutes = =
∴ 8 hours 10 minutes =
Hence, the number of hours he worked in all (written in fraction form) is
Learn more here: brainly.com/question/3164396