what is 2/3 of 7

Natasha willow

2 min read

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05-02-2025

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Fractions can sometimes feel tricky, but understanding how to solve problems involving fractions is a valuable skill. This article will clearly explain how to calculate 2/3 of 7, breaking it down into simple steps. Whether you're a student brushing up on your math skills or simply curious, this guide will help you understand the process.

Understanding the Problem: 2/3 of 7

The question "What is 2/3 of 7?" is asking us to find two-thirds of the number seven. In mathematical terms, we're looking for the result of multiplying the fraction 2/3 by the whole number 7.

Step-by-Step Solution: Calculating 2/3 of 7

Here's how to solve this problem in a clear, concise way:

Step 1: Convert the Whole Number to a Fraction

To multiply fractions, it's easiest if both numbers are expressed as fractions. We can easily convert the whole number 7 into a fraction by placing it over 1: 7/1.

Step 2: Multiply the Numerators and Denominators

Now, we multiply the fractions: (2/3) * (7/1). To do this, we multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together:

• Numerator: 2 * 7 = 14
• Denominator: 3 * 1 = 3

This gives us the fraction 14/3.

Step 3: Simplify the Fraction (if possible)

The fraction 14/3 is an improper fraction (the numerator is larger than the denominator). To simplify, we convert it into a mixed number:

We divide 14 by 3:

• 14 ÷ 3 = 4 with a remainder of 2

Therefore, 14/3 is equal to 4 and 2/3.

Step 4: Expressing the Answer

So, the answer to the question "What is 2/3 of 7?" is $\boxed{4\frac{2}{3}}$.

Alternative Method: Using Decimal Equivalents

Another way to solve this is to convert the fraction 2/3 to a decimal and then multiply:

• 2/3 ≈ 0.6667 (we use an approximation here as 2/3 is a recurring decimal)
• 0.6667 * 7 ≈ 4.6669

This is approximately equal to our answer of 4 and 2/3. While this method works, using fractions is generally more accurate, especially when dealing with more complex fraction problems.

Practice Problems

To solidify your understanding, try solving these similar problems:

• What is 1/4 of 12?
• What is 3/5 of 10?
• What is 2/7 of 21?

Remember to follow the steps outlined above: convert whole numbers to fractions, multiply, simplify, and express your answer clearly. With practice, you'll become proficient in solving fraction problems.