Question

which of the following lists the fractions from least to greatest?

(6.3, \frac{8}{3}, 6\frac{2}{7}, 0.658, \frac{13}{2})

a. (0.658, \frac{8}{3}, 6\frac{2}{7}, 6.3, \frac{13}{2})

b. (0.658, 6\frac{2}{7}, \frac{8}{3}, 6.3, \frac{13}{2})

c. (6.3, 6\frac{2}{7}, 0.658, \frac{8}{3}, \frac{13}{2})

d. (\frac{8}{3}, 6.3, 6\frac{2}{7}, \frac{13}{2}, 0.658)

Explanation:

Convert all numbers to decimal form

Using the Comparing Decimals and Ordering Decimals knowledge points

$$
LATEXBLOCK0
$$

Compare the decimal values

Using the Comparing Decimals and Ordering Decimals knowledge points

$$ 0.658 < 2.667 < 6.286 < 6.3 < 6.5 $$

Order the original numbers from least to greatest

Using the Comparing Decimals and Ordering Decimals knowledge points

$$ 0.658 < \frac{8}{3} < 6\frac{2}{7} < 6.3 < \frac{13}{2} $$

Answer:

• (A) \(0.658, \frac{8}{3}, 6\frac{2}{7}, 6.3, \frac{13}{2}\) (Correct answer)
• (B) \(0.658, 6\frac{2}{7}, \frac{8}{3}, 6.3, \frac{13}{2}\)
• (C) \(6.3, 6\frac{2}{7}, 0.658, \frac{8}{3}, \frac{13}{2}\)
• (D) \(\frac{8}{3}, 6.3, 6\frac{2}{7}, \frac{13}{2}, 0.658\)