To convert a fraction to a percent, first convert the mixed number to an improper fraction. Then, divide the numerator by the denominator to get a decimal, and finally, multiply the result by 100 to find the equivalent percentage.
Convert the Fraction 7 3/10 into Percent.
Method 1: Convert Mixed Number to Percent Directly
Step 1: Convert the mixed number to an improper fraction. Multiply the whole number (7) by the denominator (10) and add the numerator (3).
7 × 10 + 3 = 70 + 3 = 73, so the improper fraction is 73/10.
Step 2: Divide the numerator (73) by the denominator (10).
73 ÷ 10 = 7.3
Step 3: Multiply the result by 100 to convert to a percentage.
7.3 × 100 = 730%
So, 7 3/10 as a percent is 73%.
Method 2: Convert Improper Fraction to Decimal and Percent
Step 1: Convert the mixed number to an improper fraction as described above: 73/10.
Step 2: Divide the numerator by the denominator.
73 ÷ 10 = 7.3
Step 3: Move the decimal point two places to the right to get the percentage.
7.3 becomes 730.
Step 4: Add a percent sign (%) to the result.
The final result is 730%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 73/10 is equal to x/100.
73/10 = x/100
Step 2: Cross-multiply to solve for x.
73 × 100 = 10 × x
7300 = 10x
Step 3: Divide both sides by 10 to solve for x.
x = 7300 ÷ 10 = 730
So, 7 3/10 as a percent is 73%.
Fraction to Percent Conversion Table
Fraction | Percent |
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