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
Convert 36.5% to a fraction in simplest form and a decimal. Answer Attemptiout of 2 Fraction: square Decimal (Edit the repeating and non -repeating part): 0.36 __
Solución
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Cleoprofessionell · Tutor durante 6 años
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To convert $36.5\%$ to a fraction in simplest form, we first write it as a fraction with a denominator of 100:<br /><br />$36.5\% = \frac{36.5}{100}$<br /><br />Next, we simplify the fraction by multiplying both the numerator and denominator by 10 to eliminate the decimal point:<br /><br />$\frac{36.5}{100} = \frac{365}{1000}$<br /><br />Now, we need to simplify the fraction further by finding the greatest common divisor (GCD) of 365 and 1000. The GCD of 365 and 1000 is 5. We divide both the numerator and denominator by 5:<br /><br />$\frac{365}{1000} = \frac{73}{200}$<br /><br />So, the fraction in simplest form is $\frac{73}{200}$.<br /><br />To convert $36.5\%$ to a decimal, we simply divide 36.5 by 100:<br /><br />$36.5\% = \frac{36.5}{100} = 0.365$<br /><br />Therefore, the decimal representation of $36.5\%$ is $0.365$.
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