Question

Which expression(s) will result in a quotient that is less then one? 3/4 divided by 2/3, 7/10 divided by 4/5, 7/8 divided by 1/2, 7/8 divided by 1/2, 3/4 divided by 1/3, 1/5 divided by 11/15

Answer 1

Given the general rule for the division of fractions:

`\begin{gathered} (a)/(b)(\cdot)/(\cdot)(c)/(d)=(a\cdot d)/(b\cdot c) \\ b,d\\e0 \end{gathered}`

Then, in this case we have the following:

`\begin{gathered} (3)/(4)(\cdot)/(\cdot)(2)/(3)=(3\cdot3)/(4\cdot2)=(9)/(8)>1 \\ (7)/(10)(\cdot)/(\cdot)(4)/(5)=(7\cdot5)/(4\cdot10)=(35)/(40)<1 \\ (7)/(8)(\cdot)/(\cdot)(1)/(2)=(7\cdot2)/(8\cdot1)=(14)/(8)>1 \\ (3)/(4)(\cdot)/(\cdot)(1)/(3)=(3\cdot3)/(4\cdot1)=(9)/(4)>1 \\ (1)/(5)(\cdot)/(\cdot)(11)/(15)=(1\cdot15)/(5\cdot11)=(15)/(55)<1 \end{gathered}`

therefore, only the second and the last options are less than 1