MEDALS GIVEN
Without dividing, do you expect seven-eighths divided by eleven-sixteenths to be greater than or less than 1? Explain.

Question

MEDALS GIVEN 
Without dividing, do you expect seven-eighths divided by eleven-sixteenths to be greater than or less than 1? Explain.

anonymous · Answer

7*16=112 and 8*11 = 88, therefore I would say yes it would be greater than 1.

anonymous · Answer

suppose $x> b$ and neither are 0. then $\left|\frac{x}{b}\right|>1$ and $\left|\frac{b}{x}\right|<1$

anonymous · Answer

I could also say that you are taking a number slightly below 1 and dividing it by another number even smaller than the one originally had, and that would give you a number greater than 1. Like if I started with three quarters and I divide it by 1/2 my number is larger than one, but that does not work for 1/2 divided by 3/4. Because my original was greater than the number i divided it by.