Question

plot the fraction on the number line. \\(\frac{7}{5}\\)

Explanation:

Convert the fraction to a mixed number

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

Determine the interval division

$$ \text{Each unit interval is divided into } 5 \text{ equal parts (ticks at intervals of } 0.2\text{).} $$

Locate the point on the number line

$$ 1 \frac{2}{5} = 1 + 2 \times 0.2 = 1.4 $$

$$ \text{The point must be located at the second tick mark to the right of } 1\text{.} $$

Answer:

• (A) Point plotted at \(\frac{4}{5}\) (four ticks to the right of 0)
• (B) Point plotted at \(1\frac{4}{5}\) (four ticks to the right of 1)
• (C) Point plotted at \(1\frac{2}{5}\) (two ticks to the right of 1) (Correct answer)
• (D) Point plotted at \(\frac{2}{5}\) (two ticks to the right of 0)