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 2 3/8 into Percent.
Method 1: Convert Mixed Fraction to Percent Directly
Step 1: First, convert the mixed fraction (2 3/8) into an improper fraction.
2 3/8 = (2 × 8 + 3) / 8 = 19/8
Step 2: Divide the numerator (19) by the denominator (8) to get the decimal.
19 ÷ 8 = 2.375
Step 3: Multiply the result by 100 to convert to a percentage.
2.375 × 100 = 237.5%
So, 2 3/8 as a percent is 237.5%.
Method 2: Convert Mixed Fraction to Decimal and Percent
Step 1: Convert the mixed fraction (2 3/8) into a decimal by dividing 19 by 8.
19 ÷ 8 = 2.375
Step 2: Move the decimal point two places to the right to get the percentage.
2.375 becomes 237.5.
Step 3: Add a percent sign (%) to the result.
The final result is 237.5%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 19/8 is equal to x/100.
19/8 = x/100
Step 2: Cross-multiply to solve for x.
19 × 100 = 8 × x
1900 = 8x
Step 3: Divide both sides by 8 to solve for x.
x = 1900 ÷ 8 = 237.5
So, 2 3/8 as a percent is 237.5%.
Fraction to Percent Conversion Table
Fraction | Percent |
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