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think about the division expression $\frac{2}{5} div \frac{3}{5}$. do y…

Question

think about the division expression $\frac{2}{5} div \frac{3}{5}$.
do you expect the quotient to be less than 1 or greater than 1?
less than 1, because only part of $\frac{3}{5}$ fits into $\frac{2}{5}$.
greater than 1, because $\frac{3}{5}$ fits into $\frac{2}{5}$ more than one time.

Explanation:

Step1: Compare dividend and divisor

$\frac{2}{5} < \frac{3}{5}$

Step2: Evaluate division result

$\frac{2}{5} \div \frac{3}{5} = \frac{2}{5} \times \frac{5}{3} = \frac{2}{3}$

Step3: Compare result to 1

$\frac{2}{3} < 1$

Answer:

Less than 1, because only part of $\frac{3}{5}$ fits into $\frac{2}{5}$.