To convert a mixed fraction to a percent, first convert the mixed fraction to an improper fraction, then divide the numerator by the denominator to get a decimal, and finally multiply the result by 100. This gives the equivalent percentage of the fraction.
Convert the Fraction 2 7/8 into Percent.
Method 1: Convert Mixed Fraction to Percent Directly
Step 1: Convert the mixed fraction (2 7/8) to an improper fraction.
2 7/8 = (2 × 8 + 7)/8 = 23/8
Step 2: Divide the numerator (23) by the denominator (8).
23 ÷ 8 = 2.875
Step 3: Multiply the result by 100 to convert to a percentage.
2.875 × 100 = 287.5%
So, 2 7/8 as a percent is 287.5%.
Method 2: Convert Mixed Fraction to Decimal and Percent
Step 1: Convert the mixed fraction (2 7/8) to an improper fraction.
2 7/8 = 23/8
Step 2: Divide the numerator by the denominator to convert to a decimal.
23 ÷ 8 = 2.875
Step 3: Move the decimal point two places to the right to get the percentage.
2.875 becomes 287.5.
Step 4: Add a percent sign (%) to the result.
The final result is 287.5%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 23/8 is equal to x/100.
23/8 = x/100
Step 2: Cross-multiply to solve for x.
23 × 100 = 8 × x
2300 = 8x
Step 3: Divide both sides by 8 to solve for x.
x = 2300 ÷ 8 = 287.5
So, 2 7/8 as a percent is 287.5%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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