Questions: Which of the following fractions is equivalent to 56.4%? A. 564 / 1000 B. 564 / 100 C. 564 / 10 D. 564

Solution Steps

To find the fraction equivalent to 56.4%, we need to convert the percentage to a fraction. A percentage is a number out of 100, so 56.4% can be written as 56.4/100. We then simplify this fraction to its simplest form to find the equivalent fraction.

To convert a percentage to a fraction, we divide the percentage by 100. The given percentage is \(56.4\%\).

\[ \frac{56.4}{100} \]

The fraction \(\frac{56.4}{100}\) can be simplified by removing the decimal point. To do this, multiply both the numerator and the denominator by 10 to eliminate the decimal:

\[ \frac{56.4 \times 10}{100 \times 10} = \frac{564}{1000} \]

Now, we compare the simplified fraction \(\frac{564}{1000}\) with the given options:

• A. \(\frac{564}{1000}\)
• B. \(\frac{564}{100}\)
• C. \(\frac{564}{10}\)
• D. 564

The fraction \(\frac{564}{1000}\) matches option A.

Final Answer