21/49 as a percent

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Solution: 21/49 as a percent

To convert the fraction 21/49 to a percent, you can follow these steps:

  1. Simplify the fraction by dividing both the numerator (21) and the denominator (49) by their greatest common divisor, which is 7:

      2. 21 ÷ 7 = 3

      49 ÷ 7 = 7

  2. After simplification, the fraction becomes 3/7.
  3. Multiply the simplified fraction (3/7) by 100 to express it as a percentage:

      4. (3/7) × 100 ≈ 42.86%

Therefore, 21/49 expressed as a percent is approximately 42.86%.

Understanding how to convert fractions into percentages is a valuable skill in mathematics that finds application in various real-world scenarios. Let’s explore how to convert the fraction 21/49 into a percentage.

Firstly, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which in this case is 7. Dividing 21 by 7 results in 3, and dividing 49 by 7 results in 7. Hence, after simplification, the fraction becomes 3/7.

Next, to express this simplified fraction as a percentage, we multiply it by 100. Multiplying 3/7 by 100 yields approximately 42.86%.

Therefore, the fraction 21/49, when simplified and converted into a percentage, is approximately 42.86%. It’s important to simplify fractions before converting them into percentages to obtain a clearer representation of the value.

Understanding how to convert fractions to percentages is essential not only in mathematics but also in various fields such as finance, science, and engineering. By mastering this skill, you empower yourself to analyze and interpret numerical data effectively, contributing to better problem-solving and decision-making abilities.

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