Question

think about the division expression $1\frac{2}{5} \div \frac{3}{5}$.
do you expect the quotient to be less than 1 or greater than 1? why?
the fraction $\frac{3}{5}$ fits into $1\frac{2}{5}$ ? 1 time.
that means the quotient is ? 1.

Explanation:

Step1: Convert mixed number to fraction

$1\frac{2}{5} = \frac{5\times1 + 2}{5} = \frac{7}{5}$

Step2: Compare dividend and divisor

$\frac{7}{5} > \frac{3}{5}$

Step3: Interpret fraction division

When dividing a larger positive number by a smaller positive number, the quotient is greater than 1. So $\frac{3}{5}$ fits into $\frac{7}{5}$ more than 1 time, so the quotient is greater than 1.

Answer:

Greater than 1; The fraction $\frac{3}{5}$ fits into $1\frac{2}{5}$ more than 1 time. That means the quotient is greater than 1.