What is 5 3/4 as a percent?

Method 1: Convert Fraction to Percent Directly

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

5 3/4 = (5 × 4 + 3)/4 = 23/4

Step 2: Divide the numerator (23) by the denominator (4).

23 ÷ 4 = 5.75

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

5.75 × 100 = 575%

So, 5 3/4 as a percent is 575%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: Convert the mixed number to an improper fraction: 5 3/4 = 23/4.

Step 2: Divide the numerator by the denominator.

23 ÷ 4 = 5.75

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

5.75 becomes 575.

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

The final result is 575%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 23/4 is equal to x/100.

23/4 = x/100

Step 2: Cross-multiply to solve for x.

23 × 100 = 4 × x

2300 = 4x

Step 3: Divide both sides by 4 to solve for x.

x = 2300 ÷ 4 = 575

So, 5 3/4 as a percent is 575%.