Convert the Fraction 7.57/10 to a Percentage: A Detailed Approach

Question

Convert the fraction into a percentage:

7.5710=? \frac{7.57}{10}=\text{?}

Video Solution

Step-by-Step Solution

To solve this problem, we'll convert the fraction 7.5710\frac{7.57}{10} into a percentage by following these steps:

  • Step 1: Identify the fraction, which is 7.5710\frac{7.57}{10}.

  • Step 2: To convert this fraction to a percentage, we multiply by 100, according to the formula: Percentage=(NumeratorDenominator)×100%\text{Percentage} = \left(\frac{\text{Numerator}}{\text{Denominator}}\right) \times 100\%.

Applying the formula, we have:

(7.5710)×100=7.57×10=75.7%\left(\frac{7.57}{10}\right) \times 100 = 7.57 \times 10 = 75.7\%.

The fraction 7.5710\frac{7.57}{10} is equivalent to 75.7% 75.7\% .

This corresponds to the choice that is labeled as 75.7%, confirming it as the correct answer.

Therefore, the solution to the problem is 75.7%75.7\%.

Answer

75.7%