CPM Homework Help : MC1 Problem 10-49

Multiple Choice: Which quotient does not equal $1$ ? Explain or show how you know.

Hint:

If you convert each part to fractions that have the same denominator it will be easier to tell if the quotient is $1$ .
For example, the quotient for part (d) can be easily determined. It is, in fact, $1$ .

$3 \frac { 4 } { 5 } \div \frac { 19 } { 5 }$
Part (a):
$3\frac{4}{5}=\frac{5}{5}+\frac{5}{5}+\frac{5}{5}+\frac{4}{5}=\frac{19}{5}$

$\frac { 1 } { 8 } \div 0.125$
Part (b):
$\frac{0.125}{1}=\frac{x}{8}$

$1 \frac { 2 } { 3 } \div \frac { 3 } { 5 }$
Part (c):
$1\frac{2}{3}=\frac{3}{3}+\frac{2}{3}=\frac{5}{3}$

$\frac { 5 } { 6 } \div \frac { 5 } { 6 }$