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Convert to a fraction fully reduced. 0.856 a (214)/(250) b 856 C (107)/(125) d (235)/(331)

Problemas

Convert to a fraction fully reduced. 0.856
a (214)/(250)
b 856
C (107)/(125)
d (235)/(331)

Convert to a fraction fully reduced. 0.856 a (214)/(250) b 856 C (107)/(125) d (235)/(331)

Solución

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Gilbertoprofessionell · Tutor durante 6 años
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To convert the decimal $0.856$ to a fraction, we can follow these steps:<br /><br />1. Write the decimal as a fraction with a denominator of $1000$:<br /> $0.856 = \frac{856}{1000}$<br /><br />2. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of $856$ and $1000$ is $8$.<br /><br />3. Divide both the numerator and denominator by the GCD to simplify the fraction:<br /> $\frac{856}{1000} = \frac{856 \div 8}{1000 \div 8} = \frac{107}{125}$<br /><br />Therefore, the fully reduced fraction equivalent to $0.856$ is $\frac{107}{125}$.<br /><br />So, the correct answer is C $\frac{107}{125}$.
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