What is 3 7/8 as a percent? Tutorial in mathway.pro

Converting fractions to percents is an essential skill. In the world of math, we often switch between fractions and percentages. Understanding 3 7/8 as a percentage helps us understand these two realms. Let's dive deep into this conversion and the process.

You can select other values to familiarize yourself with the conversion guide.

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

Conversion to improper fractions:

3 \frac{7}{8} = \frac{3 × 8 + 7}{8} = \frac{31}{8}

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, presenting both parts together. It offers clarity in representing values between whole numbers.

What is a percent?

Percentages depict parts of a hundred. Symbolized by “%”, they convey proportions. 50% means half, while values can exceed, like 200%, indicating double the original.

For mixed fractions:

Percentages are powerful tools in conveying ratios and comparisons. When we have a mixed number, like 3 7/8, we can express it as a percentage to grasp its relative value. Let's delve into the process.

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 $\frac{7}{8}$ .

Step-by-Step Conversion:

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 $\frac{31}{8}$ .
Turn a Fraction into a Decimal: Divide the numerator by the denominator to get the decimal form. 31 ÷ 8 = 3.875.
Multiply by 100 to Get Percentage: Take the decimal value and multiply by 100.
3.875 × 100 = 387.5.
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. Embrace it to simplify and enhance your mathematical perspectives.

What is 3 7/8 as a percent?