What is 3 7/8 as a percent?

Converting fractions to a percentage can be very helpful. Let's go through the steps to change a decimal into a percentage.

You can try different values to learn more about the conversion process.

Often, convert 3.8 to a percent or 3.9 to a percent, depending on the task.

Conversion to improper fractions:

378=3 × 8 + 78=318

Converting the fraction to percentages:

31 ÷ 8 = 3.875 × 100 = 387.5%

Solution:

3 7/8 = 387.5%

What is a mixed fraction?

A mixed fraction combines a whole number with a fraction, showing both parts together. This makes it easy to understand values between whole numbers.

What is a percent?

A percent represents parts of a hundred. The symbol “%” shows proportions. 50% means half, and 200% means double the original value.

For mixed fractions:

When we have a mixed number, like 3 7/8, we can express it as a percentage to grasp its relative value.

Understanding Mixed Numbers:

A mixed number combines a whole number and a fraction. In our example, the whole number is 3, and the fraction is 78.

Step-by-Step Conversion:

  1. Convert to an Improper Fraction: To start, change the mixed number into an improper fraction. Multiply the denominator by the whole number, then add the numerator.

    3 × 8 + 7 = 31. So, the fraction becomes 318.

  2. Turn a Fraction into a Decimal: Divide the numerator by the denominator to get the decimal form. 31 ÷ 8 = 3.875.
  3. Multiply by 100 to Get Percentage: Take the decimal value and multiply by 100.

    3.875 × 100 = 387.5.

  4. Add the Percentage Symbol: Conclude by appending the % sign. Our final value is: 387.5%

Summary:

The mixed number 3 7/8, when transformed, is 387.5%. This method offers a structured approach to understand values beyond the 100% threshold.