Question Detail

\begin{aligned}
(0.34\overline{67} + 0.13\overline{33}) = ?
\end{aligned}

\begin{aligned} 0.048\overline{01} \end{aligned}
\begin{aligned} 4.8\overline{01} \end{aligned}
\begin{aligned} 48.\overline{01} \end{aligned}
\begin{aligned} 0.48\overline{01} \end{aligned}

Answer: Option D

Explanation:

\begin{aligned}
(0.34\overline{67} + 0.13\overline{33})\end{aligned}
\begin{aligned} =
\frac{3467-34}{9900} + \frac{1333-13}{9900}
\end{aligned}
\begin{aligned}
= \frac{3433 + 1320}{9900}
= \frac{4753}{9900}
\end{aligned}
\begin{aligned}
= \frac{4801 - 48}{9900}
= 0.48\overline{01}
\end{aligned}

1. 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}

2. Evaluate 35 / .07

400
500
505
None of above

Answer: Option B

Explanation:

35/.07 = 3500/7 = 500

3. What will be the vulgar fraction of 0.75

Answer: Option B

Explanation:

0.75 = 75/100 = 3/4

4. 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

5. Evaluate
\begin{aligned}
3.\overline{14}
\end{aligned}

\begin{aligned} 3\frac{14}{99} \end{aligned}
\begin{aligned} \frac{14}{99} \end{aligned}
\begin{aligned} 3\frac{14}{90} \end{aligned}
\begin{aligned} 3\frac{1400}{99} \end{aligned}

Answer: Option A

Explanation:

when there is bar above a number, we can simplify it by dividing with 9's (equal to the number below bar, in this question 2 digits are below bar)

Question Detail

\begin{aligned} (0.34\overline{67} + 0.13\overline{33}) = ? \end{aligned}

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

2. Evaluate 35 / .07

3. What will be the vulgar fraction of 0.75

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

5. Evaluate \begin{aligned} 3.\overline{14} \end{aligned}

\begin{aligned}
(0.34\overline{67} + 0.13\overline{33}) = ?
\end{aligned}

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

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

5. Evaluate
\begin{aligned}
3.\overline{14}
\end{aligned}