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Question

Convert 0.595 to a fraction in simplest form and a percent.

Asked By CrystalWaves53 at

Answered By Expert

Quincy

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Solution By Steps

Step 1: Convert to a Fraction

To convert 0.595 to a fraction, write it as 595/1000, since there are three decimal places.

Step 2: Simplify the Fraction

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD), which is 5.

595 ÷ 5 = 119

1000 ÷ 5 = 200

So, 0.595 as a fraction is 119/200.

Step 3: Convert to a Percent

To convert the fraction to a percent, divide the numerator by the denominator and multiply by 100.

(119 ÷ 200) × 100 = 59.5%

Final Answer

0.595 as a fraction in simplest form is

\boxed{\frac{119}{200}} and as a percent is

\boxed{59.5\%}.

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