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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)

Similar Questions :

1. Evaluate
\begin{aligned}
\frac{3.6 \times 0.48 \times 2.50}{0.12 \times 0.09 \times 0.5}
\end{aligned}

  • 80
  • 800
  • 8000
  • 80000

Answer: Option B

Explanation:

\begin{aligned}
\frac{3.6 \times 0.48 \times 2.50}{0.12 \times 0.09 \times 0.5}
\end{aligned}

\begin{aligned}
= \frac{36 \times 48 \times 250}{12 \times 9 \times 5} = 800
\end{aligned}

2. 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}

3. 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

4. If 144/0.144 = 14.4/x, then x = ?

  • 0.144
  • 0.0144
  • .00144
  • 1.44

Answer: Option B

5. What will be the vulgar fraction of 0.75

  • 3/5
  • 3/4
  • 3/2
  • 3/7

Answer: Option B

Explanation:

0.75 = 75/100 = 3/4

Read more from - Decimal Fraction Questions Answers