What is 2 3/5 as a percent?

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.

2 3/5 as a percent is 260%

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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