Question

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 the mixed number to an improper fraction

$$1\frac{2}{5}=\frac{1\times5 + 2}{5}=\frac{7}{5}$$

Step2: Compare the two fractions

We have two fractions \(\frac{3}{5}\) and \(\frac{7}{5}\). Since \(\frac{7}{5}>\frac{3}{5}\), the fraction \(\frac{3}{5}\) fits into \(\frac{7}{5}\) (i.e., \(1\frac{2}{5}\)) more than \(1\) time.

Answer:

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