Question

Question 11 (Multiple Choice Worth 1 points
(01.01 LC)
What is the rational number equivalent to 3.12?

Answer 1

Answer:

$3\frac{4}{33}=3.\bar1\bar2$

Step-by-step explanation:

Given:

Simplify The given choice.

$3\frac{4}{33}=\frac{33\times 3 +4}{33}=\frac{99+4}{33}=\frac{103}{33}=3.1212121=3.\bar1\bar2$

$3\frac{8}{33}=\frac{33\times 3 +8}{33}=\frac{99+8}{33}=\frac{107}{33}=3.242424=3.\bar2\bar4$

$3\frac{10}{39}=\frac{39\times 3 +10}{39}=\frac{117+10}{39}=\frac{127}{39}=3.2564$

$3\frac{5}{39}=\frac{39\times 3 +5}{39}=\frac{117+5}{39}=\frac{122}{39}=3.12820$

Therefore, the first option $3\frac{4}{33}$ is correct.