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 4 3/8 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the fraction 4 3/8 to an improper fraction.
4 3/8 = (4 × 8 + 3)/8 = 35/8
Step 2: Divide the numerator (35) by the denominator (8).
35 ÷ 8 = 4.375
Step 3: Multiply the result by 100 to convert to a percentage.
4.375 × 100 = 437.5%
So, 4 3/8 as a percent is 437.5%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the fraction to a decimal.
4 3/8 = 4 + 0.375 = 4.375
Step 2: Move the decimal point two places to the right to get the percentage.
4.375 becomes 437.5.
Step 3: Add a percent sign (%) to the result.
The final result is 437.5%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 35/8 is equal to x/100.
35/8 = x/100
Step 2: Cross-multiply to solve for x.
35 × 100 = 8 × x
3500 = 8x
Step 3: Divide both sides by 8 to solve for x.
x = 3500 ÷ 8 = 437.5
So, 4 3/8 as a percent is 437.5%.
Fraction to Percent Conversion Table
Fraction | Percent |
---|