Question Detail

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:

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

1. Arrange the fractions in ascending order

5/8 < 7/12 < 3/4< 13/16
5/8 < 7/12 < 13/16 < 3/4
5/8 < 3/4< 13/16 < 7/12
7/12 < 5/8 < 3/4< 13/16

Answer: Option D

Explanation:

5/8 = .625, 7/12 = .5833, 3/4 = .75, 13/16 = .8125

So order will be
7/12 < 5/8 < 3/4< 13/16

2. Which is in ascending order

3/2, 9/11, 7/9, 8/9
3/2, 7/9, 9/11, 8/9
9/11, 8/9, 3/2, 7/9
7/9, 3/2, 9/11, 8/9

Answer: Option B

3. 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:

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

4. Which is in ascending order

1/3, 2/5, 3/5, 6/7
2/5, 1/3, 3/5, 6/7
1/3, 2/5, 6/7, 3/5
3/5, 6/7, 1/3, 2/5

Answer: Option A

5. 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:

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

Question Detail

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

1. Arrange the fractions in ascending order

2. Which is in ascending order

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

4. Which is in ascending order

5. Value of
$\begin{aligned} 0.5\overline{6} \end{aligned}$

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Question Detail

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

1. Arrange the fractions in ascending order

2. Which is in ascending order

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

4. Which is in ascending order

5. Value of 0.5¯6\begin{aligned} 0.5\overline{6} \end{aligned}

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

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

5. Value of
$\begin{aligned} 0.5\overline{6} \end{aligned}$