Question

what is $3 \times \frac{2}{5}$?
mixed number, fraction, whole number options and submit button

Explanation:

Step1: Recall fraction multiplication rule

To multiply a whole number by a fraction, we multiply the whole number with the numerator of the fraction, keeping the denominator the same. So for \(3\times\frac{2}{5}\), we calculate \(3\times2 = 6\) as the new numerator and the denominator remains \(5\). So \(3\times\frac{2}{5}=\frac{3\times2}{5}=\frac{6}{5}\).

Step2: Convert improper fraction to mixed number

An improper fraction \(\frac{a}{b}\) (where \(a > b\)) can be converted to a mixed number by dividing \(a\) by \(b\). Dividing \(6\) by \(5\), we get a quotient of \(1\) and a remainder of \(1\). So \(\frac{6}{5}=1\frac{1}{5}\).

Answer:

The mixed number is \(1\frac{1}{5}\), so the boxes should be filled as \(1\), \(1\), \(5\) (from top to bottom and left to right for the mixed number format: whole part \(1\), numerator \(1\), denominator \(5\)).