What is 1 5/8 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the mixed number 1 5/8 into an improper fraction:
1 5/8 = (1 * 8 + 5)/8 = 13/8.

Step 2: Divide the numerator (13) by the denominator (8).

13 ÷ 8 = 1.625

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

1.625 × 100 = 162.5%

So, 1 5/8 as a percent is 162.5%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed number 1 5/8 to an improper fraction:
1 5/8 = 13/8.

Step 2: Convert the fraction 13/8 to a decimal by dividing the numerator by the denominator.

13 ÷ 8 = 1.625

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

1.625 becomes 162.5.

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

The final result is 162.5%.

Method 3: Use Proportions to Find Percent

Step 1: Convert the mixed number 1 5/8 into an improper fraction:
1 5/8 = 13/8.

Step 2: Set up a proportion where 13/8 is equal to x/100.

13/8 = x/100

Step 3: Cross-multiply to solve for x.

13 × 100 = 8 × x

1300 = 8x

Step 4: Divide both sides by 8 to solve for x.

x = 1300 ÷ 8 = 162.5

So, 1 5/8 as a percent is 162.5%.