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 3/4 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: First, convert the mixed number (9 3/4) to an improper fraction.
9 3/4 = (9 × 4 + 3)/4 = 39/4
Step 2: Divide the numerator (39) by the denominator (4).
39 ÷ 4 = 9.75
Step 3: Multiply the result by 100 to convert to a percentage.
9.75 × 100 = 975%
So, 9 3/4 as a percent is 975%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed number (9 3/4) into an improper fraction (39/4).
Step 2: Divide the numerator (39) by the denominator (4).
39 ÷ 4 = 9.75
Step 3: Move the decimal point two places to the right to get the percentage.
9.75 becomes 975.
Step 4: Add a percent sign (%) to the result.
The final result is 975%.
Method 3: Use Proportions to Find Percent
Step 1: Convert the mixed number (9 3/4) to an improper fraction (39/4), and set up a proportion where 39/4 is equal to x/100.
39/4 = x/100
Step 2: Cross-multiply to solve for x.
39 × 100 = 4 × x
3900 = 4x
Step 3: Divide both sides by 4 to solve for x.
x = 3900 ÷ 4 = 975
So, 9 3/4 as a percent is 975%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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