Convert the Fraction 7.38/10 into a Percentage

Question

Convert the fraction into a percentage:

7.3810=? \frac{7.38}{10}=\text{?}

Video Solution

Solution Steps

00:00 Convert fractions to percentages
00:05 A fraction with a denominator equal to 100 equals the numerator in percentage form (X)
00:12 Apply this formula to our exercise
00:17 Multiply both the numerator and denominator by 10 to obtain a denominator equal to 100
00:34 Proceed to calculate
00:42 This is the solution

Step-by-Step Solution

To convert the fraction 7.3810\frac{7.38}{10} to a percentage, we carry out the following steps:

  • Step 1: Identify the given fraction, which is 7.3810\frac{7.38}{10}.
  • Step 2: Use the formula for converting fractions to percentages: (NumeratorDenominator)×100%\left(\frac{\text{Numerator}}{\text{Denominator}}\right) \times 100\%.
  • Step 3: Apply the values from the fraction to the formula: (7.3810)×100%\left(\frac{7.38}{10}\right) \times 100\%.
  • Step 4: Perform the calculation: (0.738)×100=73.8%\left(0.738\right) \times 100 = 73.8\%.

Therefore, the fraction 7.3810\frac{7.38}{10} is equivalent to 73.8%.

Answer

73.8%