To convert a fraction to a percent, first convert the 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 7 3/4 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the fraction (7 3/4) to an improper fraction.
7 3/4 = (7 × 4 + 3)/4 = 31/4
Step 2: Divide the numerator (31) by the denominator (4).
31 ÷ 4 = 7.75
Step 3: Multiply the result by 100 to convert to a percentage.
7.75 × 100 = 775%
So, 7 3/4 as a percent is 775%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the fraction to an improper fraction.
7 3/4 = 31/4
Step 2: Divide the numerator by the denominator.
31 ÷ 4 = 7.75
Step 3: Move the decimal point two places to the right to get the percentage.
7.75 becomes 775.
Step 4: Add a percent sign (%) to the result.
The final result is 775%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 31/4 is equal to x/100.
31/4 = x/100
Step 2: Cross-multiply to solve for x.
31 × 100 = 4 × x
3100 = 4x
Step 3: Divide both sides by 4 to solve for x.
x = 3100 ÷ 4 = 775
So, 7 3/4 as a percent is 775%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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