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notsponge [240]
2 years ago
10

Write the repeating decimal 0.625625625… as a fraction in simplest form.

SAT
1 answer:
Neporo4naja [7]2 years ago
8 0

The repeating decimal 0.625625625 represented as a fraction in its simplest form is 1001001/1600000.

<h3>What is a fraction?</h3>

Fraction simply refers to number expressed as a quotient, in which a numerator is divided by a denominator.

For example, a/b

Given that;

  • Decimal number = 0.625625625
  • Number in fraction form = ?

First, we rewrite the decimal number as a fraction with 1 in the denominator.

0.625625625 = 0.625625625/1

Next, we multiply to remove 9 decimal places. ( multiply top and bottom numbers with  1000000000 )

0.625625625 = 0.625625625/1 × 1000000000/1000000000

0.625625625 = 625625625/1000000000

Next, we simply, 625 can go through the numerator and denominator.

0.625625625 = 625625625/1000000000 = 1001001/1600000

Therefore, the repeating decimal 0.625625625 represented as a fraction in its simplest form is 1001001/1600000.

Learn more about fraction numbers here: brainly.com/question/6201432

#SPJ1

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