3 Ways To Convert 44/180 To A Percentage

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Converting fractions to percentages is a fundamental math skill that can be applied in various real-life situations, such as calculating grades, discounts, or investment returns. In this article, we will explore three different methods to convert the fraction 44/180 to a percentage.

Method 1: Using Division

One of the simplest ways to convert a fraction to a percentage is by dividing the numerator by the denominator. To do this, we will divide 44 by 180.

44 ÷ 180 = 0.2444

To convert the result to a percentage, we will multiply by 100.

0.2444 × 100 = 24.44%

Therefore, the fraction 44/180 is equivalent to 24.44%.

Method 2: Using Equivalent Fractions

Another way to convert a fraction to a percentage is by finding an equivalent fraction with a denominator of 100. To do this, we will find the greatest common divisor (GCD) of 180 and 100.

GCD(180, 100) = 20

Now, we will divide both the numerator and the denominator by the GCD.

44 ÷ 20 = 2.2 180 ÷ 20 = 9

Since we want a denominator of 100, we will multiply both the numerator and the denominator by 100/9.

2.2 × 100/9 = 24.44 9 × 100/9 = 100

Therefore, the fraction 44/180 is equivalent to 24.44/100, which is equal to 24.44%.

Method 3: Using Decimal Conversion

A third way to convert a fraction to a percentage is by converting the fraction to a decimal and then multiplying by 100. To do this, we will divide the numerator by the denominator.

44 ÷ 180 = 0.2444

Now, we will multiply the result by 100 to convert it to a percentage.

0.2444 × 100 = 24.44%

Therefore, the fraction 44/180 is equivalent to 24.44%.

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We hope this article has helped you understand the different methods to convert a fraction to a percentage. Whether you use division, equivalent fractions, or decimal conversion, the result will always be the same.