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From the following fractions, the decimal $2.3675$ can be written as:

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2980

29280

2147400

4001472

answer is C.

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Detailed Solution

Given that, a decimal 2.3675.
Here it is non-zero towards the left of the decimal

2.3675

, so it will be a mixed fraction.
So the number

2.3675

will be represented as an improper fraction.
Here, there are

4

digits present after the decimal point.
So divide both numerator and denominator with

10000

2.3675 × 10000 10000 = 2367510000

2.3675

in fraction is

2367510000

.
By simplification,

2367510000 = 947400

.
By converting improper fraction into a mixed fraction, we get,

\frac{947}{400} = 2 \frac{147}{400}

2.3675 can be written as a mixed fraction as

2147400

.
Hence, option 3) is correct.

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