What is 1 5/8 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 1.62 to a percent or 1 13/20 to a percent, depending on the task.

Conversion to improper fractions:

1 \frac{5}{8} = \frac{1 × 8 + 5}{8} = \frac{13}{8}

13 ÷ 8 = 1.625 × 100 = 162.5%

1 5/8 = 162.5%

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 1 5/8, 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 1, and the fraction is $\frac{5}{8}$ .

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.
1 × 8 + 5 = 13. So, the fraction becomes $\frac{13}{8}$ .
Turn a Fraction into a Decimal: Divide the numerator by the denominator to get the decimal form. 13 ÷ 8 = 1.625.
Multiply by 100 to Get Percentage: Take the decimal value and multiply by 100.
1.625 × 100 = 162.5.
Add the Percentage Symbol: Conclude by appending the % sign. Our final value is: 162.5%

The mixed number 1 5/8, when transformed, is 162.5%. This method offers a structured approach to understand values beyond the 100% threshold.