what is 20 of 720

Natashya

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22-12-2024

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What is 20/720? Simplifying Fractions and Understanding Percentages

This article will guide you through calculating and understanding the value of 20/720, covering simplification, decimal conversion, and percentage representation. We'll break down the process step-by-step, making it easy to follow along.

Understanding Fractions

Before diving into the calculation, let's clarify what a fraction represents. A fraction like 20/720 shows a part of a whole. The top number (20) is called the numerator and represents the part. The bottom number (720) is called the denominator and represents the whole.

Simplifying 20/720

To simplify the fraction 20/720, we need to find the greatest common divisor (GCD) of both the numerator (20) and the denominator (720). The GCD is the largest number that divides both 20 and 720 evenly.

In this case, the GCD of 20 and 720 is 20. We divide both the numerator and the denominator by the GCD:

20 ÷ 20 = 1 720 ÷ 20 = 36

Therefore, the simplified fraction is 1/36. This means 20 out of 720 is the same as 1 out of 36.

Converting to a Decimal

To convert the simplified fraction 1/36 to a decimal, we divide the numerator (1) by the denominator (36):

1 ÷ 36 ≈ 0.02777...

The decimal representation is approximately 0.0278 (rounded to four decimal places).

Converting to a Percentage

To express 1/36 as a percentage, we multiply the decimal value by 100:

0.02777... × 100 ≈ 2.78%

Therefore, 20/720 is approximately 2.78%.

In summary:

• 20/720 simplified: 1/36
• 20/720 as a decimal: Approximately 0.0278
• 20/720 as a percentage: Approximately 2.78%

Understanding how to simplify fractions, convert to decimals, and express as percentages is a fundamental skill in mathematics. This example demonstrates a straightforward method to tackle similar problems involving fractions.