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Value of
\begin{aligned}
0.5\overline{6}
\end{aligned}

  • \begin{aligned} \frac{51}{99} \end{aligned}
  • \begin{aligned} \frac{51}{90} \end{aligned}
  • \begin{aligned} \frac{51}{9} \end{aligned}
  • \begin{aligned} \frac{510}{99} \end{aligned}

Answer: Option B

Explanation:

\begin{aligned}
0.5\overline{6} = \frac {56 - 5}{90} = \frac {51}{90}
\end{aligned}

Similar Questions :

1. What will be the value of
\begin{aligned}
25.732^2 - 15.732^2
\end{aligned}

  • 214.64
  • 314.64
  • 414.64
  • 412.64

Answer: Option C

Explanation:

Can be easily solved with following formula
\begin{aligned}
a^2 - b^2 = (a - b)(a + b)
\end{aligned}

2. Evaluate
6202.5 + 620.25 + 62.025 + 6.2025 + .62025

  • 6791.59775
  • 6891.59775
  • 6891.59675
  • 5891.59775

Answer: Option B

Explanation:

Just we need to take care to put decimal under decimal, rest add in a simple way

3. 617 + 6.017 + 0.617 + 6.0017 = ?

  • 62.96357
  • 62963.57
  • 62.96357
  • 629.6357

Answer: Option D

4. What is difference between biggest and smallest fraction among 2/3, 3/4, 4/5 and 5/6

  • 2/5
  • 3/5
  • 1/6
  • 1/7

Answer: Option C

Explanation:

2/3 = .66, 3/4 = .75, 4/5 = .8 and 5/6 = .833

So biggest is 5/6 and smallest is 2/3

Their difference is 5/6 - 2/3 = 1/6

5. Correct expression of \begin{aligned}
6.\overline{46}
\end{aligned} is

  • \begin{aligned} \frac{640}{99} \end{aligned}
  • \begin{aligned} \frac{640}{90} \end{aligned}
  • \begin{aligned} \frac{64000}{99} \end{aligned}
  • \begin{aligned} \frac{640}{9} \end{aligned}

Answer: Option A

Explanation:

\begin{aligned}
6.\overline{46} = 6 + 0.\overline{46}
= 6 + \frac{46}{99}
= 6\frac{46}{99} = \frac{640}{99}
\end{aligned}

Read more from - Decimal Fraction Questions Answers