What is 3 4/5 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: First, convert the mixed number into an improper fraction. 3 4/5 becomes 19/5.

Step 2: Divide the numerator (19) by the denominator (5).

19 ÷ 5 = 3.8

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

3.8 × 100 = 380%

So, 3 4/5 as a percent is 380%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: Convert the mixed number 3 4/5 into an improper fraction, which is 19/5.

Step 2: Divide the numerator by the denominator.

19 ÷ 5 = 3.8

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

3.8 becomes 380.

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

The final result is 380%.

Method 3: Use Proportions to Find Percent

Step 1: Convert the mixed number 3 4/5 into an improper fraction, which is 19/5.

Step 2: Set up a proportion where 19/5 is equal to x/100.

19/5 = x/100

Step 3: Cross-multiply to solve for x.

19 × 100 = 5 × x

1900 = 5x

Step 4: Divide both sides by 5 to solve for x.

x = 1900 ÷ 5 = 380

So, 3 4/5 as a percent is 380%.