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Katena32 [7]
3 years ago
5

Convert the decimal expansion 0.370370... to a fraction.

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
7 0

Answer:

0.370370.....=\dfrac{10}{27}

A is correct

Step-by-step explanation:

We are given a repeating decimal 0.370370.......

Let,

x=0.\overline{370}

x=0.370370370...

In the given repeating decimal 3 digits repeating.

x=0.370370370.....--------(1)

So, we will multiply both sides by 1000

1000x=370.370370370.....-------(2)

Subtract eq(2) - eq(1)

1000x-x = 370

999x=370

x=\dfrac{370}{999}

Reduce the fraction by factor of 37

x=\dfrac{10}{27}

Hence, The given repeating decimal 0.370370....... as fraction \dfrac{10}{27}

Tems11 [23]3 years ago
6 0
The answer is A 10/27 is 0.370370..
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