Question

what is $3 \times \frac{3}{10}$?
mixed number
fraction
whole number
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Explanation:

Step1: Multiply the integer and numerator

To multiply an integer by a fraction, we multiply the integer with the numerator of the fraction. So, for \(3\times\frac{3}{10}\), we do \(3\times3 = 9\). The denominator remains the same, which is \(10\). So the result is \(\frac{9}{10}\) if we consider it as a fraction, but since the option is a mixed number, we check if it can be converted. However, \(\frac{9}{10}\) is a proper fraction and less than \(1\), but wait, actually, \(3\times\frac{3}{10}=\frac{9}{10}\), but maybe I made a mistake. Wait, no, \(3\times\frac{3}{10}=\frac{3\times3}{10}=\frac{9}{10}\). But the mixed number option is selected, so maybe the problem expects to write it as a mixed number? Wait, no, \(\frac{9}{10}\) is less than \(1\), so as a mixed number, it would be \(0\frac{9}{10}\), but maybe the problem has a typo or I misread. Wait, no, let's re - calculate: \(3\times\frac{3}{10}=\frac{9}{10}\). But if we consider the mixed number format, the whole number part is \(0\), the numerator is \(9\), and the denominator is \(10\).

Step2: Fill in the mixed number boxes

For the mixed number \(a\frac{b}{c}\), where \(a\) is the whole number, \(b\) is the numerator, and \(c\) is the denominator. Since \(\frac{9}{10}=0\frac{9}{10}\), the whole number box (the first square) is \(0\), the numerator (the top square of the fraction part) is \(9\), and the denominator (the bottom square of the fraction part) is \(10\). But wait, maybe the problem was supposed to be \(3\times\frac{10}{3}\) or something else? No, the problem is \(3\times\frac{3}{10}\). So according to the calculation, the mixed number is \(0\frac{9}{10}\), fraction is \(\frac{9}{10}\), and whole number is not applicable. But since the mixed number option is highlighted, we fill the mixed number boxes as \(0\) (whole number), \(9\) (numerator of the fraction part), and \(10\) (denominator of the fraction part).

Answer:

The mixed number is \(0\frac{9}{10}\), so the whole number part is \(0\), the numerator of the fraction part is \(9\), and the denominator of the fraction part is \(10\). If we consider the fraction form, it is \(\frac{9}{10}\), and there is no whole number. But following the mixed number option, the answer for the mixed number boxes is \(0\) (first square), \(9\) (top square of the fraction), \(10\) (bottom square of the fraction).