When you divide a fraction less than 1 by a whole number greater than 1, is the quotient less than, greater then, or equal to the dividend?

The quotient obtained  is less than 1.

Step-by-step explanation:

Given : When you divide a fraction less than 1 by a whole number greater than 1.

We have to find that the quotient obtained is less than, greater then, or equal to the dividend.

We will solve it using an example,

Lets consider a fraction less than 1 say

And a whole number 4 which is greater than 1.

Then , When you divide a fraction less than 1 by a whole number greater than 1.

that is when we divide by 4, we obtained

And when we simplify  we obtain quotient as 0.16667.. which is less than 1.

Thus, the quotient obtained  is less than 1.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2