Question

The vulgar fraction of 0.393939....is?

• A. $$\frac{11}{39}4$
• B. $$\frac{17}{39}$$
• C. $$\frac{13}{33}$$
• D. $$\frac{15}{33}$$

Answer 1

Answer:

$$\frac{13}{33}$$

Solution:

Number = $0.\bar{39}$

Let $x=$0.$\bar{39}$ ------------(1)

$100x=39.$$\bar{39}$----------(2)

Subtracting equation (1) from (2)

$100x-x=39.39....-0.3939...$

$99x=39$

$x=\frac{39}{99}$

$x=\frac{13}{33}$

Hence option(c) is the correct answer.