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 1 3/4 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed number 1 3/4 to an improper fraction. 1 3/4 = 7/4.
Step 2: Divide the numerator (7) by the denominator (4).
7 ÷ 4 = 1.75
Step 3: Multiply the result by 100 to convert to a percentage.
1.75 × 100 = 175%
So, 1 3/4 as a percent is 175%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed number 1 3/4 to an improper fraction, which is 7/4.
7 ÷ 4 = 1.75
Step 2: Move the decimal point two places to the right to get the percentage.
1.75 becomes 175.
Step 3: Add a percent sign (%) to the result.
The final result is 175%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 7/4 is equal to x/100.
7/4 = x/100
Step 2: Cross-multiply to solve for x.
7 × 100 = 4 × x
700 = 4x
Step 3: Divide both sides by 4 to solve for x.
x = 700 ÷ 4 = 175
So, 1 3/4 as a percent is 175%.
Fraction to Percent Conversion Table
| Fraction | Percent |
|---|