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Convert 0.595 to a fraction in simples form and a percent. Answer Attemptiout of 2 Fraction: square

Problemas

Convert 0.595 to a fraction in simples form and a percent.
Answer Attemptiout of 2
Fraction: square

Convert 0.595 to a fraction in simples form and a percent. Answer Attemptiout of 2 Fraction: square

Solución

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Jorgeprofessionell · Tutor durante 6 años
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Fraction: \(\frac{119}{200}\), Percent: 59.5%

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## Step 1<br />The given decimal number is 0.595. To convert this decimal into a fraction, we need to understand that the decimal 0.595 is equivalent to 595 thousandths. This can be written as a fraction with 595 as the numerator and 1000 as the denominator.<br /><br />### \(0.595 = \frac{595}{1000}\)<br /><br />## Step 2<br />Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 595 and 1000 is 5.<br /><br />## Step 3<br />We then divide both the numerator and the denominator by the GCD to simplify the fraction.<br /><br />### \(\frac{595}{5} = 119\)<br />### \(\frac{1000}{5} = 200\)<br /><br />So, the simplified fraction is \(\frac{119}{200}\).<br /><br />## Step 4<br />To convert the decimal into a percentage, we multiply the decimal by 100.<br /><br />### \(0.595 \times 100 = 59.5\%\)
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