what is 3 divided by 27

Natashya

less than a minute read

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26-12-2024

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Dividing 3 by 27 might seem straightforward, but understanding the process is key to mastering division. This article will walk you through solving 3 ÷ 27 and explain the underlying concepts.

Understanding Division

Division is essentially the opposite of multiplication. It determines how many times one number (the divisor) goes into another number (the dividend). In the problem 3 ÷ 27, 27 is the divisor and 3 is the dividend.

Solving 3 ÷ 27

Because 3 is smaller than 27, the result will be a fraction or decimal less than 1. To solve:

1. Set up the division: Write the problem as a fraction: 3/27

2. Simplify the fraction: Both 3 and 27 are divisible by 3. Divide both the numerator (top) and the denominator (bottom) by 3:

   3 ÷ 3 = 1 27 ÷ 3 = 9

   This simplifies the fraction to 1/9

3. Convert to a decimal (optional): To express the answer as a decimal, divide the numerator (1) by the denominator (9):

   1 ÷ 9 ≈ 0.111...

   The result is a repeating decimal, often represented as 0.1̅1̅.

Therefore, 3 divided by 27 is equal to 1/9 or approximately 0.111.

Key Concepts to Remember

• Fractions: Represent parts of a whole. The numerator is the top number, and the denominator is the bottom number.
• Simplifying Fractions: Dividing both the numerator and denominator by their greatest common divisor (GCD) reduces the fraction to its simplest form.
• Decimals: Represent numbers less than one using a decimal point. Repeating decimals have digits that repeat infinitely.

This detailed explanation should provide a clear understanding of how to solve 3 divided by 27. Remember to practice regularly to improve your division skills!