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 7/10 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: First, convert the (1 7/10) into an improper fraction.
1 7/10 = (1 × 10 + 7) / 10 = 17/10
Step 2: Divide the numerator (17) by the denominator (10).
17 ÷ 10 = 1.7
Step 3: Multiply the result by 100 to convert to a percentage.
1.7 × 100 = 170%
So, 1 7/10 as a percent is 170%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed number into an improper fraction (17/10).
17 ÷ 10 = 1.7
Step 2: Move the decimal point two places to the right to get the percentage.
1.7 becomes 170.
Step 3: Add a percent sign (%) to the result.
The final result is 170%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 17/10 is equal to x/100.
17/10 = x/100
Step 2: Cross-multiply to solve for x.
17 × 100 = 10 × x
1700 = 10x
Step 3: Divide both sides by 10 to solve for x.
x = 1700 ÷ 10 = 170
So, 1 7/10 as a percent is 170%.
Fraction to Percent Conversion Table
Fraction | Percent |
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