When you multiply 2/3 by a fraction less than one, how does the product compare to the factors? explain

Hello from MrBillDoesMath!

Not so simple. See discussion below

Discussion:

Consider these two examples:

0<= f < = 1, then             (2/3) * f < (2/3) * 1  = 2/3      

   so the product is less than either of the factors

f = -5, then (2/3)* (-5/1) =  -10/3

   so the product is actually larger than the factor -5 !

In other words, the general answer depends upon the sign as well as value of the fraction. The problem probably meant that multiplying a positive fraction by a number less than 1 and >= 0 makes the product smaller. But as your see from the above examples, a more fine grained analysis is required for a full answer.

Thank you,

MrB

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet