What is 8 3/4 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the number (8 3/4) into an improper fraction. Multiply the whole number by the denominator and add the numerator.

8 × 4 + 3 = 35

So, 8 3/4 = 35/4.

Step 2: Divide the numerator (35) by the denominator (4).

35 ÷ 4 = 8.75

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

8.75 × 100 = 875%

So, 8 3/4 as a percent is 875%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: Convert the mixed number (8 3/4) into an improper fraction, then divide the numerator by the denominator.

8 × 4 + 3 = 35, so 8 3/4 = 35/4.

35 ÷ 4 = 8.75

Step 2: Move the decimal point two places to the right to get the percentage.

8.75 becomes 875.

Step 3: Add a percent sign (%) to the result.

The final result is 875%.

Method 3: Use Proportions to Find Percent

Step 1: Convert the mixed number (8 3/4) to an improper fraction (35/4), and set up a proportion where 35/4 is equal to x/100.

35/4 = x/100

Step 2: Cross-multiply to solve for x.

35 × 100 = 4 × x

3500 = 4x

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

x = 3500 ÷ 4 = 875

So, 8 3/4 as a percent is 875%.