Which division problem has a quotient that is less than 1 ( a 8 divided by 5) (b (20 divided by 16) (c 25 divided by 10) (or d 30 divided by 35)

Answer - D) 30/35

Step-by-step explanation:

The definition of quotient is the result of the the two numbers you divide.

All the choices except D are above the number 1

You can also tell that if it's greater or less than one by the numbers that are being divided.

Any number being divided by a number less in value will always result in either 1 or greater. Hence 8 divided by 5, 20 divided by 16, and 25 divided by 10

Any number that is being divided by a number greater than its value will be less than one. Hence 30 divided by 35

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4