Question

Correct expression of 2.$\bar{56}$=? (the bar indicates repeating decimal)

• A. $$2\frac{560}{90}$$
• B. $$2\frac{56}{99}$$
• C. $$2\frac{56}{1000}$$
• D. $$2\frac{56}{100}$$

Answer 1

Answer:

$$2\frac{56}{99}$$

Calculation:

x=2.$\bar{56}$

=x=2.565656..... -----------(1)

=100x=256.5656... ---------------(2) [eq(1)$\times$100]

Substracting eq (1) from (2), we get

99x = 254

= x = $\frac{254}{99}$

=x = $2\frac{56}{99}$