What is the value of 1.{34} + 4.{12} ?

Correct Answer is : 54619905461/9905990461

Correct Answer is : 54619905461/9905990461

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RRB NTPC Mains or Stage 2 Model Paper 4 with solutions

Question : 2 of 120

Marks: +1, -0

1.\overline{34} + 4.\overline{12} ?

Solution:

Concept:

A repeating decimal is converted to a fraction using the formula:

\frac{\text{whole number} - \text{non-repeating part}}{\text{9s for repeating digits followed by 0s for non-repeating digits}}

Explanation:

1.\overline{34} = \frac{134 - 1}{99} = \frac{133}{99}

4.1\overline{2} = \frac{412 - 41}{90} = \frac{371}{90}

Now add the fractions:

\frac{133}{99} + \frac{371}{90}

The LCM of

99

and

90

990

\frac{133}{99} = \frac{1330}{990}

\frac{371}{90} = \frac{4081}{990}

Sum

= \frac{1330 + 4081}{990} = \frac{5411}{990}

\frac{5411}{990} = 5\frac{461}{990}

Answer:

5\frac{461}{990}

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