Question

Convert into a vulgar fraction :

0.24$\bar{37}$

• A. $$\frac{2437}{9990}$$
• B. $$\frac{2413}{9900}$$
• C. $$\frac{2413}{9999}$$
• D. $$\frac{2437}{9999}$$

Answer 1

Answer:

$$\frac{2413}{9900}$$

Calculation:

Let x=0.24$\bar{37}$   --- (1)

Multiplby by 100 in equation (1)

⇒ 100x = 24 + 0.$\bar{37}$     --- (2)

Multiplby by 10000 in equation (1)

⇒ 10000x = 2437 +0.$\bar{37}$     --- (3)

Subtract equation (2) from equation (1)

⇒ 9900x = 2413

∴ The value of x is 2413/9900.