To convert a mixed 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 obtain the percentage.
Convert the Fraction 2 3/5 into Percent.
Method 1: Convert Mixed Fraction to Percent Directly
Step 1: Convert the mixed fraction (2 3/5) to an improper fraction.
2 3/5 = (2 × 5 + 3)/5 = 13/5
Step 2: Divide the numerator (13) by the denominator (5).
13 ÷ 5 = 2.6
Step 3: Multiply the result by 100 to convert to a percentage.
2.6 × 100 = 260%
So, 2 3/5 as a percent is 260%.
Method 2: Convert Mixed Fraction to Decimal and Percent
Step 1: First, convert the mixed fraction to an improper fraction.
2 3/5 = 13/5
Step 2: Convert the improper fraction to a decimal by dividing the numerator by the denominator.
13 ÷ 5 = 2.6
Step 3: Move the decimal point two places to the right to get the percentage.
2.6 becomes 260.
Step 4: Add a percent sign (%) to the result.
The final result is 260%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 13/5 is equal to x/100.
13/5 = x/100
Step 2: Cross-multiply to solve for x.
13 × 100 = 5 × x
1300 = 5x
Step 3: Divide both sides by 5 to solve for x.
x = 1300 ÷ 5 = 260
So, 2 3/5 as a percent is 260%.
Fraction to Percent Conversion Table
Fraction | Percent |
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