Question

1. select all the diagrams that represent $\frac{1}{3}\div4$.

review.

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Explanation:

Step1: Analyze the meaning of \(\frac{1}{3}\div4\)

\(\frac{1}{3}\div4\) means dividing \(\frac{1}{3}\) into \(4\) equal parts.

Step2: Analyze each diagram

• Diagram A:

The rectangle is divided into \(12\) equal - sized small rectangles. The shaded part is \(1\) out of \(12\). Since \(\frac{1}{3}\div4=\frac{1}{3}\times\frac{1}{4}=\frac{1}{12}\), this diagram represents \(\frac{1}{3}\div4\).

• Diagram B:

The whole is considered as \(1\). The first - shaded part is \(\frac{1}{3}\) of the first three - block part. But it is not divided into \(4\) equal parts of \(\frac{1}{3}\).

• Diagram C:

The whole is \(1\). The first shaded part is \(\frac{1}{3}\) of the first three - block part. And then this \(\frac{1}{3}\) is divided into \(4\) equal parts (the first block of the three - block part is divided into \(4\) sub - parts). So it represents \(\frac{1}{3}\div4\).

• Diagram D:

The rectangle is divided into \(6\) equal - sized small rectangles. The shaded part is \(1\) out of \(6\), which is \(\frac{1}{6}
eq\frac{1}{12}\).

Answer:

A. Option A, C. Option C.