Question

Find the quotient of 1 1/4 and 3 1/2 . Express your answer in simplest form.

10 pts.

Answer 1

For this case, we convert the mixed numbers to fractions:

$1 \frac {1} {4} = \frac {4 * 1 + 1} {4} = \frac {4 + 1} {4} = \frac {5} {4}\\3 \frac {1} {2} = \frac {2 * 3 + 1} {2} = \frac {6 + 1} {2} = \frac {7} {2}$

Then, we find the quotient:

$\frac {\frac {5} {4}} {\frac {7} {2}} = \frac {5 * 2} {4 * 7} = \frac {10} {28}$

We simplify:

$\frac {10} {28} = \frac {5} {14}$

ANswer:

The quotient of the expression is$\frac {5} {14}$