To convert a mixed number to a percent, first convert it to an improper fraction, then divide the numerator by the denominator, and finally, multiply the result by 100.
Convert the Fraction 3 1/8 into Percent.
Method 1: Convert Mixed Number to Percent Directly
Step 1: Convert 3 1/8 to an improper fraction: (3 × 8 + 1) / 8 = 25/8.
Step 2: Divide the numerator (25) by the denominator (8).
25 ÷ 8 = 3.125
Step 3: Multiply the result by 100 to convert to a percentage.
3.125 × 100 = 312.5%
So, 3 1/8 as a percent is 312.5%.
Method 2: Convert to Decimal and Percent
Step 1: First, convert 3 1/8 to a decimal by dividing 25 by 8.
25 ÷ 8 = 3.125
Step 2: Move the decimal point two places to the right to get the percentage.
3.125 becomes 312.5.
Step 3: Add a percent sign (%) to the result.
The final result is 312.5%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 3 1/8 is equal to x/100.
25/8 = x/100
Step 2: Cross-multiply to solve for x.
25 × 100 = 8 × x
2500 = 8x
Step 3: Divide both sides by 8 to solve for x.
x = 2500 ÷ 8 = 312.5
So, 3 1/8 as a percent is 312.5%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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