Question

what multiplication equati a. $3 \times \frac{1}{3} = \frac{1}{9}$ b. $3 \times \frac{1}{3} = \frac{1}{3}$ c. $3 \times \frac{1}{3} = \frac{3}{3}$ d. $3 \times \frac{1}{3} = \frac{9}{3}$ sample student response: teacher workspace:

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 and keep the denominator the same. So for \(3\times\frac{1}{3}\), we calculate \(3\times1 = 3\) (numerator) and denominator remains \(3\), so \(3\times\frac{1}{3}=\frac{3\times1}{3}=\frac{3}{3}\).

Step2: Check each option

• Option A: \(3\times\frac{1}{3}=\frac{3}{3}

eq\frac{1}{9}\), so A is wrong.

• Option B: \(3\times\frac{1}{3}=\frac{3}{3}

eq\frac{1}{3}\), so B is wrong.

• Option C: \(3\times\frac{1}{3}=\frac{3}{3}\), which is correct.
• Option D: \(3\times\frac{1}{3}=\frac{3}{3}

eq\frac{9}{3}\), so D is wrong.

Answer:

C. \(3\times\frac{1}{3}=\frac{3}{3}\)