The decimal 0.76 can be expressed as a fraction.
To convert 0.76 to a fraction, you can follow these steps:
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Write the decimal as a fraction with 100 in the denominator since there are two decimal places: \[ 0.76 = \frac{76}{100} \]
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Next, simplify the fraction if possible. The greatest common divisor (GCD) of 76 and 100 is 4. Divide both the numerator and denominator by 4: \[ \frac{76 \div 4}{100 \div 4} = \frac{19}{25} \]
So, 0.76 as a simplified fraction is \(\frac{19}{25}\).
Among your given options:
- \( \frac{76}{10} \) is incorrect (it's equivalent to 7.6).
- \( \frac{76}{100} \) is correct in its non-simplified form.
- \( \frac{6}{7} \) is also incorrect.
Thus, the correct identification is that \( \frac{76}{100} \) is the initial fraction representation of 0.76.
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