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 9 3/8 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed number (9 3/8) to an improper fraction.
9 3/8 = (9 × 8 + 3) / 8 = 75/8
Step 2: Divide the numerator (75) by the denominator (8).
75 ÷ 8 = 9.375
Step 3: Multiply the result by 100 to convert to a percentage.
9.375 × 100 = 937.5%
So, 9 3/8 as a percent is 937.5%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the mixed number (9 3/8) to a decimal by dividing the numerator by the denominator.
75 ÷ 8 = 9.375
Step 2: Multiply the decimal by 100 to convert it to a percentage.
9.375 × 100 = 937.5%
The final result is 937.5%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 75/8 is equal to x/100.
75/8 = x/100
Step 2: Cross-multiply to solve for x.
75 × 100 = 8 × x
7500 = 8x
Step 3: Divide both sides by 8 to solve for x.
x = 7500 ÷ 8 = 937.5
So, 9 3/8 as a percent is 937.5%.
Fraction to Percent Conversion Table
Fraction | Percent |
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