what is 30 of 240

Natashya

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23-12-2024

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What is 30 of 240? Understanding Percentages and Fractions

The question "What is 30 of 240?" is asking us to determine the relationship between 30 and 240. We can express this relationship in a few different ways: as a fraction, a decimal, and a percentage. Let's explore each method.

1. Expressing the Relationship as a Fraction:

The simplest way to represent the relationship between 30 and 240 is as a fraction: 30/240. This fraction represents 30 parts out of a total of 240 parts. We can simplify this fraction by finding the greatest common divisor (GCD) of 30 and 240, which is 30. Dividing both the numerator and the denominator by 30 gives us:

30/240 = 1/8

This simplified fraction, 1/8, tells us that 30 is one-eighth of 240.

2. Converting the Fraction to a Decimal:

To convert the fraction 1/8 to a decimal, we simply divide the numerator (1) by the denominator (8):

1 ÷ 8 = 0.125

Therefore, 30 is 0.125 of 240.

3. Calculating the Percentage:

To express the relationship as a percentage, we can use the decimal value we just calculated. Multiply the decimal by 100%:

0.125 x 100% = 12.5%

This means that 30 is 12.5% of 240.

In Summary:

To answer the question "What is 30 of 240?", we can say:

• Fraction: 30 is 1/8 of 240.
• Decimal: 30 is 0.125 of 240.
• Percentage: 30 is 12.5% of 240.

Understanding these different representations is crucial for various applications, from calculating discounts and taxes to analyzing data and understanding proportions in different contexts. The key takeaway is that there are multiple ways to express the relationship between two numbers, each offering a unique perspective on their relative size.