Fraction to Percent Conversion

Comparatively, two commonly used terms to compare quantities are percent and fractions. Percent or percentage refers to a fraction of the whole, indicating how much of the whole is represented by a percent. It is easier to understand the proportion of a whole in terms of percent rather than fractions, and it is important to keep in mind the concept of percent.

What is the current percentage of female students? If we consider a class with 38 students, what percent and fraction of them understand the concept?

It is 23 out of 38. To simplify: 23/38 = 0.60526315789473684210526315789474 or approximately 60%.

Understanding the formula for converting percentages to fractions is essential for converting fractions to percentages. Prior to that, it is important to have a clear understanding of the concepts of fractions and percentages.

Also, read:.

  • Percentage.
  • How to Calculate Percentage.
  • Percentage. Increase Decrease
  • Conversion from Percent to Fraction.
  • In other words, how many parts does a certain size divided whole represent? In the line above, the numerator is written while the denominator is written below. A simple fraction consists of a numerator and a denominator, with 1/2 being an example. In other words, how many parts does a certain size divided whole represent?

    The denominator is 4 and the numerator is 3, indicating a whole made up of four parts. The denominator represents how many parts a whole consists of, while the numerator, which is equal to three, represents a whole made up of three parts. The denominator represents how many parts a whole consists of, while the numerator, which is equal to three, represents a whole made up of three parts, and it cannot be zero.

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    The following figure illustrates the transformation of a fraction into a percentage.

    Fraction to percent

    What is Percent?

    Males were 50 out of every 100, which means that males were 50% of the students. The fraction 35/100 can be written as 35% as well.

    Fraction to Percent Conversion Table

    The fraction to percent table is given below for a few fractions. This table helps in solving many numerical problems in maths.

    1/2 is equal to 50%, 2/3 is equal to 66.67%, 1/3 is equal to 33.33%, 2/4 is equal to 50%, 1/4 is equal to 25%, 3/4 is equal to 75%, 2/5 is equal to 40%, 1/5 is equal to 20%, 4/5 is equal to 80%, 3/5 is equal to 60%, 2/6 is equal to 33.33%, 1/6 is equal to 16.67%, 5/6 is equal to 83.33%, 4/6 is equal to 66.67%, 3/6 is equal to 50%, 2/7 is equal to 28.571429%, 1/7 is equal to 14.285714%, 6/7 is equal to 85.714286%,

    Percentage. Formula

    A percentage is a number or ratio with a denominator of 100. The formula for calculating a percentage is as follows:

    For instance, if we desire to locate 10% of 150, it can be accomplished as:

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    = 15.

    Therefore, 10% of 150 equals 15.

    How to Convert Fraction to Percent?

    Here are a few examples that will give you a clear understanding of how to convert a percent into a fraction. To convert a percent to a fraction, you just need to multiply the fraction by 100 and reduce it.

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  • Change the fraction into a decimal number.
  • Multiply the acquired decimal number by 100 to obtain a percentage value.
  • Additionally, give it a go: fraction to percent converter.

    Examples of Fraction to Percent

    Example 1: Change 3/4 into a percentage.

    Solution:.

    Step 1: Transform the fraction 3/4 into a decimal.

    Step 2: Three-fourths is equal to 0.75.

    Step 3: Multiply the decimal by 100: 0.75 × 100 = 75%.

    Hence, the resolution is 75%.

    Example 2: Convert 3/16 to percentage.

    Solution:.

    Step 1: Transform the fraction 3/16 into a decimal.

    Step 2: 3/16 equals 0.1875.

    Step 3: Multiply the decimal by 100: 0.1875 × 100 = 18.75%.

    Hence, the answer is 18.75 %.

    The Blue team has won 19 out of 20 games played, giving them a higher percentage of wins in cricket. On the other hand, the Red team has won 7 out of 8 games played. In the cricket tournament, the Red team has won 7 out of 8 games played, while the Blue team has won 19 out of 20 games played.

    Solution:.

    Team Red: Emerged victorious in 7 out of 8 games played: 7/8.

    Step 1: Transform the fraction 7/8 into a decimal.

    Step 2: 7/8 = 0.875.

    Step 3: Multiply the decimal by 100: 0.875 × 100 = 87.5 percent.

    Blue Team: Emerged victorious in 19 out of 20 games played, achieving a remarkable success rate of 19/20.

    Step 1: Transform the fraction 19/20 into a decimal.

    Step 2: 19/20 = 0.95.

    Step 3: Multiply the decimal by 100: 0.95 × 100 = 95%.

    Team Red has a winning rate of 87.5%, whereas team Blue has a winning rate of 95%.

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    As a result, Blue team has a greater proportion of victories with 95%.

    To acquire additional understanding about conversion, register with BYJU’S – The Learning App and download the app to effortlessly amplify your learning experience.

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