What is 3 1/5 as a percent?

To convert a fraction to a percent, divide the numerator by the denominator to get a decimal, then multiply the result by 100. This gives the equivalent percentage of the fraction.

Convert the Fraction 3 1/5 into Percent.

3 1/5 as a percent is 63.33%

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the mixed number (3 1/5) to an improper fraction.

3 1/5 = (3 × 5 + 1) / 5 = 16/5

Step 2: Divide the numerator (16) by the denominator (5).

16 ÷ 5 = 3.2

Step 3: Multiply the result by 100 to convert to a percentage.

3.2 × 100 = 320%

So, 3 1/5 as a percent is 320%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: Convert the mixed number (3 1/5) to an improper fraction.

3 1/5 = (3 × 5 + 1) / 5 = 16/5

Step 2: Divide the numerator (16) by the denominator (5).

16 ÷ 5 = 3.2

Step 3: Move the decimal point two places to the right to get the percentage.

3.2 becomes 320.

Step 4: Add a percent sign (%) to the result.

The final result is 320%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 16/5 is equal to x/100.

16/5 = x/100

Step 2: Cross-multiply to solve for x.

16 × 100 = 5 × x

1600 = 5x

Step 3: Divide both sides by 5 to solve for x.

x = 1600 ÷ 5 = 320