What is 5 7/8 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the number to an improper fraction: 5 7/8 = (5 * 8 + 7) / 8 = 47/8.

Step 2: Divide the numerator (47) by the denominator (8).

47 ÷ 8 = 5.875

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

5.875 × 100 = 587.5%

So, 5 7/8 as a percent is 587.5%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed number to an improper fraction: 5 7/8 = 47/8.

Then, convert the fraction to a decimal by dividing the numerator by the denominator.

47 ÷ 8 = 5.875

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

5.875 becomes 587.5.

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

The final result is 587.5%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 5 7/8 is equal to x/100.

47/8 = x/100

Step 2: Cross-multiply to solve for x.

47 × 100 = 8 × x

4700 = 8x

Step 3: Divide both sides by 8 to solve for x.

x = 4700 ÷ 8 = 587.5

So, 5 7/8 as a percent is 587.5%.