What is 5 2/5 as a percent? Tutorial in mathshowcase.info

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 5 1/3 to a percent or 11/2 to a percent, depending on the task.

Conversion to improper fractions:

5 \frac{2}{5} = \frac{5 × 5 + 2}{5} = \frac{27}{5}

27 ÷ 5 = 5.4 × 100 = 540%

5 2/5 = 540%

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

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

When we have a mixed number, like 5 2/5, we can express it as a percentage to grasp its relative value.

A mixed number combines a whole number and a fraction. In our example, the whole number is 5, and the fraction is $\frac{2}{5}$ .

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.
5 × 5 + 2 = 27. So, the fraction becomes $\frac{27}{5}$ .
Turn a Fraction into a Decimal: Divide the numerator by the denominator to get the decimal form. 27 ÷ 5 = 5.4.
Multiply by 100 to Get Percentage: Take the decimal value and multiply by 100.
5.4 × 100 = 540.
Add the Percentage Symbol: Conclude by appending the % sign. Our final value is: 540%

The mixed number 5 2/5, when transformed, is 540%. This method offers a structured approach to understand values beyond the 100% threshold.