To convert a fraction to a percent, divide the numerator by the denominator to get a decimal, then multiply the result by 100. This gives the equivalent percentage of the fraction.
Convert the Fraction 6 7/8 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed fraction 6 7/8 to an improper fraction.
(6 × 8) + 7 = 48 + 7 = 55, so 6 7/8 = 55/8
Step 2: Divide the numerator (55) by the denominator (8).
55 ÷ 8 = 6.875
Step 3: Multiply the result by 100 to convert to a percentage.
6.875 × 100 = 687.5%
So, 6 7/8 as a percent is 687.5%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed fraction 6 7/8 to an improper fraction and then to a decimal.
6 7/8 = 55/8, and 55 ÷ 8 = 6.875
Step 2: Move the decimal point two places to the right to get the percentage.
6.875 becomes 687.5.
Step 3: Add a percent sign (%) to the result.
The final result is 687.5%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 55/8 is equal to x/100.
55/8 = x/100
Step 2: Cross-multiply to solve for x.
55 × 100 = 8 × x
5500 = 8x
Step 3: Divide both sides by 8 to solve for x.
x = 5500 ÷ 8 = 687.5
So, 6 7/8 as a percent is 687.5%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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