Complete the table of equivalents. Round decimals to the nearest​ ten-thousandth. Round percents to the nearest hundredth of a percent.

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Fraction
Decimal
Percent
  
enter your response here
0.76

1 answer

Sure, let's fill in the table with the given decimal and calculate its equivalent fraction and percent.

Given Decimal:
\[ 0.76 \]

To convert 0.76 to a fraction:
\[ 0.76 = \frac{76}{100} \]
Since \(\frac{76}{100}\) can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD), which is 4:
\[ \frac{76 \div 4}{100 \div 4} = \frac{19}{25} \]

To convert 0.76 to a percent:
\[ 0.76 \times 100 = 76\% \]

Now, fill in the table with the results:

| Fraction | Decimal | Percent |
|:-------------:|:-------:|:-------:|
| \(\frac{19}{25}\) | 0.76 | 76.00% |

So, the completed table of equivalents is:

Fraction: \(\frac{19}{25}\)

Decimal: 0.76

Percent: 76.00%